Scroll:Measurement >> Area & Perimeter of Composite Figure >> ps (1373)


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For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

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1)  

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

22cm

                                22cm


___cm2


Answer:_______________




2)  

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

26cm

                                26cm


___cm2


Answer:_______________




3)  

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

10cm

                                10cm


___cm2


Answer:_______________




4)  

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

14cm

                                14cm


___cm2


Answer:_______________




5)  

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

24cm

                                24cm


___cm2


Answer:_______________




6)  

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

32cm

                                32cm


___cm2


Answer:_______________




7)  

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

20cm

                                20cm


___cm2


Answer:_______________




8)  

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

12cm

                                12cm


___cm2


Answer:_______________




9)  

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

28cm

                                28cm


___cm2


Answer:_______________




10)  

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

16cm

                                16cm


___cm2


Answer:_______________




 

1)  

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

22cm

                                22cm


Answer: 225cm2


SOLUTION 1 :

Step 1: Diameter = 22cm

            Radius = 22 ÷ 2

                        = 11cm

Step 2: Area of square = 22 x 22

                                     = 484cm2

Step 3: Area of circle = π x r x r

                                  = π x 11 x 11

                                  = 380.182cm2

Step 3: Area of triangle = 12 x b x h

                                     = 12 x 11 x 11

                                     = 60.5cm2

Step 4: Area of 2 triangles = 60.5 x 2

                                          = 121cm2

Step 5: Area of shaded part = (square - circle) + triangle

                                             = (484 - 380.182) + 121

                                             = 224.818cm2

                                             ≈ 225cm2



2)  

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

26cm

                                26cm


Answer: 314cm2


SOLUTION 1 :

Step 1: Diameter = 26cm

            Radius = 26 ÷ 2

                        = 13cm

Step 2: Area of square = 26 x 26

                                     = 676cm2

Step 3: Area of circle = π x r x r

                                  = π x 13 x 13

                                  = 530.998cm2

Step 3: Area of triangle = 12 x b x h

                                     = 12 x 13 x 13

                                     = 84.5cm2

Step 4: Area of 2 triangles = 84.5 x 2

                                          = 169cm2

Step 5: Area of shaded part = (square - circle) + triangle

                                             = (676 - 530.998) + 169

                                             = 314.002cm2

                                             ≈ 314cm2



3)  

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

10cm

                                10cm


Answer: 46cm2


SOLUTION 1 :

Step 1: Diameter = 10cm

            Radius = 10 ÷ 2

                        = 5cm

Step 2: Area of square = 10 x 10

                                     = 100cm2

Step 3: Area of circle = π x r x r

                                  = π x 5 x 5

                                  = 78.550cm2

Step 3: Area of triangle = 12 x b x h

                                     = 12 x 5 x 5

                                     = 12.5cm2

Step 4: Area of 2 triangles = 12.5 x 2

                                          = 25cm2

Step 5: Area of shaded part = (square - circle) + triangle

                                             = (100 - 78.550) + 25

                                             = 46.450cm2

                                             ≈ 46cm2



4)  

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

14cm

                                14cm


Answer: 91cm2


SOLUTION 1 :

Step 1: Diameter = 14cm

            Radius = 14 ÷ 2

                        = 7cm

Step 2: Area of square = 14 x 14

                                     = 196cm2

Step 3: Area of circle = π x r x r

                                  = π x 7 x 7

                                  = 153.958cm2

Step 3: Area of triangle = 12 x b x h

                                     = 12 x 7 x 7

                                     = 24.5cm2

Step 4: Area of 2 triangles = 24.5 x 2

                                          = 49cm2

Step 5: Area of shaded part = (square - circle) + triangle

                                             = (196 - 153.958) + 49

                                             = 91.042cm2

                                             ≈ 91cm2



5)  

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

24cm

                                24cm


Answer: 268cm2


SOLUTION 1 :

Step 1: Diameter = 24cm

            Radius = 24 ÷ 2

                        = 12cm

Step 2: Area of square = 24 x 24

                                     = 576cm2

Step 3: Area of circle = π x r x r

                                  = π x 12 x 12

                                  = 452.448cm2

Step 3: Area of triangle = 12 x b x h

                                     = 12 x 12 x 12

                                     = 72.0cm2

Step 4: Area of 2 triangles = 72.0 x 2

                                          = 144cm2

Step 5: Area of shaded part = (square - circle) + triangle

                                             = (576 - 452.448) + 144

                                             = 267.552cm2

                                             ≈ 268cm2



6)  

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

32cm

                                32cm


Answer: 476cm2


SOLUTION 1 :

Step 1: Diameter = 32cm

            Radius = 32 ÷ 2

                        = 16cm

Step 2: Area of square = 32 x 32

                                     = 1024cm2

Step 3: Area of circle = π x r x r

                                  = π x 16 x 16

                                  = 804.352cm2

Step 3: Area of triangle = 12 x b x h

                                     = 12 x 16 x 16

                                     = 128.0cm2

Step 4: Area of 2 triangles = 128.0 x 2

                                          = 256cm2

Step 5: Area of shaded part = (square - circle) + triangle

                                             = (1024 - 804.352) + 256

                                             = 475.648cm2

                                             ≈ 476cm2



7)  

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

20cm

                                20cm


Answer: 186cm2


SOLUTION 1 :

Step 1: Diameter = 20cm

            Radius = 20 ÷ 2

                        = 10cm

Step 2: Area of square = 20 x 20

                                     = 400cm2

Step 3: Area of circle = π x r x r

                                  = π x 10 x 10

                                  = 314.200cm2

Step 3: Area of triangle = 12 x b x h

                                     = 12 x 10 x 10

                                     = 50.0cm2

Step 4: Area of 2 triangles = 50.0 x 2

                                          = 100cm2

Step 5: Area of shaded part = (square - circle) + triangle

                                             = (400 - 314.200) + 100

                                             = 185.800cm2

                                             ≈ 186cm2



8)  

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

12cm

                                12cm


Answer: 67cm2


SOLUTION 1 :

Step 1: Diameter = 12cm

            Radius = 12 ÷ 2

                        = 6cm

Step 2: Area of square = 12 x 12

                                     = 144cm2

Step 3: Area of circle = π x r x r

                                  = π x 6 x 6

                                  = 113.112cm2

Step 3: Area of triangle = 12 x b x h

                                     = 12 x 6 x 6

                                     = 18.0cm2

Step 4: Area of 2 triangles = 18.0 x 2

                                          = 36cm2

Step 5: Area of shaded part = (square - circle) + triangle

                                             = (144 - 113.112) + 36

                                             = 66.888cm2

                                             ≈ 67cm2



9)  

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

28cm

                                28cm


Answer: 364cm2


SOLUTION 1 :

Step 1: Diameter = 28cm

            Radius = 28 ÷ 2

                        = 14cm

Step 2: Area of square = 28 x 28

                                     = 784cm2

Step 3: Area of circle = π x r x r

                                  = π x 14 x 14

                                  = 615.832cm2

Step 3: Area of triangle = 12 x b x h

                                     = 12 x 14 x 14

                                     = 98.0cm2

Step 4: Area of 2 triangles = 98.0 x 2

                                          = 196cm2

Step 5: Area of shaded part = (square - circle) + triangle

                                             = (784 - 615.832) + 196

                                             = 364.168cm2

                                             ≈ 364cm2



10)  

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

16cm

                                16cm


Answer: 119cm2


SOLUTION 1 :

Step 1: Diameter = 16cm

            Radius = 16 ÷ 2

                        = 8cm

Step 2: Area of square = 16 x 16

                                     = 256cm2

Step 3: Area of circle = π x r x r

                                  = π x 8 x 8

                                  = 201.088cm2

Step 3: Area of triangle = 12 x b x h

                                     = 12 x 8 x 8

                                     = 32.0cm2

Step 4: Area of 2 triangles = 32.0 x 2

                                          = 64cm2

Step 5: Area of shaded part = (square - circle) + triangle

                                             = (256 - 201.088) + 64

                                             = 118.912cm2

                                             ≈ 119cm2