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 112 cm.

The difference between its length and breadth is 24 cm.

Find its area.

cm2


Answer:_______________




2)  

A rectangle has a perimeter of 84 cm.

The difference between its length and breadth is 16 cm.

Find its area.

cm2


Answer:_______________




3)  

A rectangle has a perimeter of 232 cm.

The difference between its length and breadth is 18 cm.

Find its area.

cm2


Answer:_______________




4)  

A rectangle has a perimeter of 120 cm.

The difference between its length and breadth is 20 cm.

Find its area.

cm2


Answer:_______________




5)  

A rectangle has a perimeter of 232 cm.

The difference between its length and breadth is 26 cm.

Find its area.

cm2


Answer:_______________




6)  

A rectangle has a perimeter of 180 cm.

The difference between its length and breadth is 28 cm.

Find its area.

cm2


Answer:_______________




7)  

A rectangle has a perimeter of 84 cm.

The difference between its length and breadth is 22 cm.

Find its area.

cm2


Answer:_______________




8)  

A rectangle has a perimeter of 160 cm.

The difference between its length and breadth is 28 cm.

Find its area.

cm2


Answer:_______________




9)  

A rectangle has a perimeter of 88 cm.

The difference between its length and breadth is 28 cm.

Find its area.

cm2


Answer:_______________




10)  

A rectangle has a perimeter of 224 cm.

The difference between its length and breadth is 30 cm.

Find its area.

cm2


Answer:_______________




 

1)  

A rectangle has a perimeter of 112 cm.

The difference between its length and breadth is 24 cm.

Find its area.

Answer: 640 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 112 - 24 - 24 = 64 cm

Step 2: Breadth of rectangle: 64 ÷ 4 = 16 cm

Step 3: Length of rectangle: 16 + 24 = 40 cm

Step 4: Area of rectangle: 40 x 16 = 640 cm2

Its area is 640 cm2.



2)  

A rectangle has a perimeter of 84 cm.

The difference between its length and breadth is 16 cm.

Find its area.

Answer: 377 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 84 - 16 - 16 = 52 cm

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

Step 3: Length of rectangle: 13 + 16 = 29 cm

Step 4: Area of rectangle: 29 x 13 = 377 cm2

Its area is 377 cm2.



3)  

A rectangle has a perimeter of 232 cm.

The difference between its length and breadth is 18 cm.

Find its area.

Answer: 3283 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 232 - 18 - 18 = 196 cm

Step 2: Breadth of rectangle: 196 ÷ 4 = 49 cm

Step 3: Length of rectangle: 49 + 18 = 67 cm

Step 4: Area of rectangle: 67 x 49 = 3283 cm2

Its area is 3283 cm2.



4)  

A rectangle has a perimeter of 120 cm.

The difference between its length and breadth is 20 cm.

Find its area.

Answer: 800 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 120 - 20 - 20 = 80 cm

Step 2: Breadth of rectangle: 80 ÷ 4 = 20 cm

Step 3: Length of rectangle: 20 + 20 = 40 cm

Step 4: Area of rectangle: 40 x 20 = 800 cm2

Its area is 800 cm2.



5)  

A rectangle has a perimeter of 232 cm.

The difference between its length and breadth is 26 cm.

Find its area.

Answer: 3195 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 232 - 26 - 26 = 180 cm

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

Step 3: Length of rectangle: 45 + 26 = 71 cm

Step 4: Area of rectangle: 71 x 45 = 3195 cm2

Its area is 3195 cm2.



6)  

A rectangle has a perimeter of 180 cm.

The difference between its length and breadth is 28 cm.

Find its area.

Answer: 1829 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 180 - 28 - 28 = 124 cm

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

Step 3: Length of rectangle: 31 + 28 = 59 cm

Step 4: Area of rectangle: 59 x 31 = 1829 cm2

Its area is 1829 cm2.



7)  

A rectangle has a perimeter of 84 cm.

The difference between its length and breadth is 22 cm.

Find its area.

Answer: 320 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 84 - 22 - 22 = 40 cm

Step 2: Breadth of rectangle: 40 ÷ 4 = 10 cm

Step 3: Length of rectangle: 10 + 22 = 32 cm

Step 4: Area of rectangle: 32 x 10 = 320 cm2

Its area is 320 cm2.



8)  

A rectangle has a perimeter of 160 cm.

The difference between its length and breadth is 28 cm.

Find its area.

Answer: 1404 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 160 - 28 - 28 = 104 cm

Step 2: Breadth of rectangle: 104 ÷ 4 = 26 cm

Step 3: Length of rectangle: 26 + 28 = 54 cm

Step 4: Area of rectangle: 54 x 26 = 1404 cm2

Its area is 1404 cm2.



9)  

A rectangle has a perimeter of 88 cm.

The difference between its length and breadth is 28 cm.

Find its area.

Answer: 288 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 88 - 28 - 28 = 32 cm

Step 2: Breadth of rectangle: 32 ÷ 4 = 8 cm

Step 3: Length of rectangle: 8 + 28 = 36 cm

Step 4: Area of rectangle: 36 x 8 = 288 cm2

Its area is 288 cm2.



10)  

A rectangle has a perimeter of 224 cm.

The difference between its length and breadth is 30 cm.

Find its area.

Answer: 2911 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 224 - 30 - 30 = 164 cm

Step 2: Breadth of rectangle: 164 ÷ 4 = 41 cm

Step 3: Length of rectangle: 41 + 30 = 71 cm

Step 4: Area of rectangle: 71 x 41 = 2911 cm2

Its area is 2911 cm2.