Scroll:Measurement >> Area >> saq (544)


Written Instructions:

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..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

A rectangle has a perimeter of 128 cm.

The difference between its length and breadth is 20 cm.

Find its area.

cm2


Answer:_______________




2)  

A rectangle has a perimeter of 100 cm.

The difference between its length and breadth is 22 cm.

Find its area.

cm2


Answer:_______________




3)  

A rectangle has a perimeter of 84 cm.

The difference between its length and breadth is 24 cm.

Find its area.

cm2


Answer:_______________




4)  

A rectangle has a perimeter of 80 cm.

The difference between its length and breadth is 14 cm.

Find its area.

cm2


Answer:_______________




5)  

A rectangle has a perimeter of 92 cm.

The difference between its length and breadth is 12 cm.

Find its area.

cm2


Answer:_______________




6)  

A rectangle has a perimeter of 216 cm.

The difference between its length and breadth is 18 cm.

Find its area.

cm2


Answer:_______________




7)  

A rectangle has a perimeter of 212 cm.

The difference between its length and breadth is 18 cm.

Find its area.

cm2


Answer:_______________




8)  

A rectangle has a perimeter of 192 cm.

The difference between its length and breadth is 18 cm.

Find its area.

cm2


Answer:_______________




9)  

A rectangle has a perimeter of 224 cm.

The difference between its length and breadth is 12 cm.

Find its area.

cm2


Answer:_______________




10)  

A rectangle has a perimeter of 204 cm.

The difference between its length and breadth is 12 cm.

Find its area.

cm2


Answer:_______________




 

1)  

A rectangle has a perimeter of 128 cm.

The difference between its length and breadth is 20 cm.

Find its area.

Answer: 924 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 128 - 20 - 20 = 88 cm

Step 2: Breadth of rectangle: 88 ÷ 4 = 22 cm

Step 3: Length of rectangle: 22 + 20 = 42 cm

Step 4: Area of rectangle: 42 x 22 = 924 cm2

Its area is 924 cm2.



2)  

A rectangle has a perimeter of 100 cm.

The difference between its length and breadth is 22 cm.

Find its area.

Answer: 504 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 100 - 22 - 22 = 56 cm

Step 2: Breadth of rectangle: 56 ÷ 4 = 14 cm

Step 3: Length of rectangle: 14 + 22 = 36 cm

Step 4: Area of rectangle: 36 x 14 = 504 cm2

Its area is 504 cm2.



3)  

A rectangle has a perimeter of 84 cm.

The difference between its length and breadth is 24 cm.

Find its area.

Answer: 297 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 84 - 24 - 24 = 36 cm

Step 2: Breadth of rectangle: 36 ÷ 4 = 9 cm

Step 3: Length of rectangle: 9 + 24 = 33 cm

Step 4: Area of rectangle: 33 x 9 = 297 cm2

Its area is 297 cm2.



4)  

A rectangle has a perimeter of 80 cm.

The difference between its length and breadth is 14 cm.

Find its area.

Answer: 351 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 80 - 14 - 14 = 52 cm

Step 2: Breadth of rectangle: 52 ÷ 4 = 13 cm

Step 3: Length of rectangle: 13 + 14 = 27 cm

Step 4: Area of rectangle: 27 x 13 = 351 cm2

Its area is 351 cm2.



5)  

A rectangle has a perimeter of 92 cm.

The difference between its length and breadth is 12 cm.

Find its area.

Answer: 493 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 92 - 12 - 12 = 68 cm

Step 2: Breadth of rectangle: 68 ÷ 4 = 17 cm

Step 3: Length of rectangle: 17 + 12 = 29 cm

Step 4: Area of rectangle: 29 x 17 = 493 cm2

Its area is 493 cm2.



6)  

A rectangle has a perimeter of 216 cm.

The difference between its length and breadth is 18 cm.

Find its area.

Answer: 2835 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 216 - 18 - 18 = 180 cm

Step 2: Breadth of rectangle: 180 ÷ 4 = 45 cm

Step 3: Length of rectangle: 45 + 18 = 63 cm

Step 4: Area of rectangle: 63 x 45 = 2835 cm2

Its area is 2835 cm2.



7)  

A rectangle has a perimeter of 212 cm.

The difference between its length and breadth is 18 cm.

Find its area.

Answer: 2728 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 212 - 18 - 18 = 176 cm

Step 2: Breadth of rectangle: 176 ÷ 4 = 44 cm

Step 3: Length of rectangle: 44 + 18 = 62 cm

Step 4: Area of rectangle: 62 x 44 = 2728 cm2

Its area is 2728 cm2.



8)  

A rectangle has a perimeter of 192 cm.

The difference between its length and breadth is 18 cm.

Find its area.

Answer: 2223 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 192 - 18 - 18 = 156 cm

Step 2: Breadth of rectangle: 156 ÷ 4 = 39 cm

Step 3: Length of rectangle: 39 + 18 = 57 cm

Step 4: Area of rectangle: 57 x 39 = 2223 cm2

Its area is 2223 cm2.



9)  

A rectangle has a perimeter of 224 cm.

The difference between its length and breadth is 12 cm.

Find its area.

Answer: 3100 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 224 - 12 - 12 = 200 cm

Step 2: Breadth of rectangle: 200 ÷ 4 = 50 cm

Step 3: Length of rectangle: 50 + 12 = 62 cm

Step 4: Area of rectangle: 62 x 50 = 3100 cm2

Its area is 3100 cm2.



10)  

A rectangle has a perimeter of 204 cm.

The difference between its length and breadth is 12 cm.

Find its area.

Answer: 2565 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 204 - 12 - 12 = 180 cm

Step 2: Breadth of rectangle: 180 ÷ 4 = 45 cm

Step 3: Length of rectangle: 45 + 12 = 57 cm

Step 4: Area of rectangle: 57 x 45 = 2565 cm2

Its area is 2565 cm2.