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 168 cm.

The difference between its length and breadth is 22 cm.

Find its area.

cm2


Answer:_______________




2)  

A rectangle has a perimeter of 140 cm.

The difference between its length and breadth is 20 cm.

Find its area.

cm2


Answer:_______________




3)  

A rectangle has a perimeter of 224 cm.

The difference between its length and breadth is 22 cm.

Find its area.

cm2


Answer:_______________




4)  

A rectangle has a perimeter of 228 cm.

The difference between its length and breadth is 18 cm.

Find its area.

cm2


Answer:_______________




5)  

A rectangle has a perimeter of 136 cm.

The difference between its length and breadth is 30 cm.

Find its area.

cm2


Answer:_______________




6)  

A rectangle has a perimeter of 224 cm.

The difference between its length and breadth is 20 cm.

Find its area.

cm2


Answer:_______________




7)  

A rectangle has a perimeter of 160 cm.

The difference between its length and breadth is 14 cm.

Find its area.

cm2


Answer:_______________




8)  

A rectangle has a perimeter of 108 cm.

The difference between its length and breadth is 12 cm.

Find its area.

cm2


Answer:_______________




9)  

A rectangle has a perimeter of 112 cm.

The difference between its length and breadth is 28 cm.

Find its area.

cm2


Answer:_______________




10)  

A rectangle has a perimeter of 92 cm.

The difference between its length and breadth is 18 cm.

Find its area.

cm2


Answer:_______________




 

1)  

A rectangle has a perimeter of 168 cm.

The difference between its length and breadth is 22 cm.

Find its area.

Answer: 1643 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 168 - 22 - 22 = 124 cm

Step 2: Breadth of rectangle: 124 ÷ 4 = 31 cm

Step 3: Length of rectangle: 31 + 22 = 53 cm

Step 4: Area of rectangle: 53 x 31 = 1643 cm2

Its area is 1643 cm2.



2)  

A rectangle has a perimeter of 140 cm.

The difference between its length and breadth is 20 cm.

Find its area.

Answer: 1125 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 140 - 20 - 20 = 100 cm

Step 2: Breadth of rectangle: 100 ÷ 4 = 25 cm

Step 3: Length of rectangle: 25 + 20 = 45 cm

Step 4: Area of rectangle: 45 x 25 = 1125 cm2

Its area is 1125 cm2.



3)  

A rectangle has a perimeter of 224 cm.

The difference between its length and breadth is 22 cm.

Find its area.

Answer: 3015 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 224 - 22 - 22 = 180 cm

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

Step 3: Length of rectangle: 45 + 22 = 67 cm

Step 4: Area of rectangle: 67 x 45 = 3015 cm2

Its area is 3015 cm2.



4)  

A rectangle has a perimeter of 228 cm.

The difference between its length and breadth is 18 cm.

Find its area.

Answer: 3168 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 228 - 18 - 18 = 192 cm

Step 2: Breadth of rectangle: 192 ÷ 4 = 48 cm

Step 3: Length of rectangle: 48 + 18 = 66 cm

Step 4: Area of rectangle: 66 x 48 = 3168 cm2

Its area is 3168 cm2.



5)  

A rectangle has a perimeter of 136 cm.

The difference between its length and breadth is 30 cm.

Find its area.

Answer: 931 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 136 - 30 - 30 = 76 cm

Step 2: Breadth of rectangle: 76 ÷ 4 = 19 cm

Step 3: Length of rectangle: 19 + 30 = 49 cm

Step 4: Area of rectangle: 49 x 19 = 931 cm2

Its area is 931 cm2.



6)  

A rectangle has a perimeter of 224 cm.

The difference between its length and breadth is 20 cm.

Find its area.

Answer: 3036 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 224 - 20 - 20 = 184 cm

Step 2: Breadth of rectangle: 184 ÷ 4 = 46 cm

Step 3: Length of rectangle: 46 + 20 = 66 cm

Step 4: Area of rectangle: 66 x 46 = 3036 cm2

Its area is 3036 cm2.



7)  

A rectangle has a perimeter of 160 cm.

The difference between its length and breadth is 14 cm.

Find its area.

Answer: 1551 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 160 - 14 - 14 = 132 cm

Step 2: Breadth of rectangle: 132 ÷ 4 = 33 cm

Step 3: Length of rectangle: 33 + 14 = 47 cm

Step 4: Area of rectangle: 47 x 33 = 1551 cm2

Its area is 1551 cm2.



8)  

A rectangle has a perimeter of 108 cm.

The difference between its length and breadth is 12 cm.

Find its area.

Answer: 693 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 108 - 12 - 12 = 84 cm

Step 2: Breadth of rectangle: 84 ÷ 4 = 21 cm

Step 3: Length of rectangle: 21 + 12 = 33 cm

Step 4: Area of rectangle: 33 x 21 = 693 cm2

Its area is 693 cm2.



9)  

A rectangle has a perimeter of 112 cm.

The difference between its length and breadth is 28 cm.

Find its area.

Answer: 588 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 112 - 28 - 28 = 56 cm

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

Step 3: Length of rectangle: 14 + 28 = 42 cm

Step 4: Area of rectangle: 42 x 14 = 588 cm2

Its area is 588 cm2.



10)  

A rectangle has a perimeter of 92 cm.

The difference between its length and breadth is 18 cm.

Find its area.

Answer: 448 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 92 - 18 - 18 = 56 cm

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

Step 3: Length of rectangle: 14 + 18 = 32 cm

Step 4: Area of rectangle: 32 x 14 = 448 cm2

Its area is 448 cm2.