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 152 cm.

The difference between its length and breadth is 26 cm.

Find its area.

cm2


Answer:_______________




2)  

A rectangle has a perimeter of 152 cm.

The difference between its length and breadth is 20 cm.

Find its area.

cm2


Answer:_______________




3)  

A rectangle has a perimeter of 128 cm.

The difference between its length and breadth is 10 cm.

Find its area.

cm2


Answer:_______________




4)  

A rectangle has a perimeter of 124 cm.

The difference between its length and breadth is 26 cm.

Find its area.

cm2


Answer:_______________




5)  

A rectangle has a perimeter of 232 cm.

The difference between its length and breadth is 28 cm.

Find its area.

cm2


Answer:_______________




6)  

A rectangle has a perimeter of 156 cm.

The difference between its length and breadth is 22 cm.

Find its area.

cm2


Answer:_______________




7)  

A rectangle has a perimeter of 120 cm.

The difference between its length and breadth is 22 cm.

Find its area.

cm2


Answer:_______________




8)  

A rectangle has a perimeter of 128 cm.

The difference between its length and breadth is 14 cm.

Find its area.

cm2


Answer:_______________




9)  

A rectangle has a perimeter of 148 cm.

The difference between its length and breadth is 24 cm.

Find its area.

cm2


Answer:_______________




10)  

A rectangle has a perimeter of 216 cm.

The difference between its length and breadth is 16 cm.

Find its area.

cm2


Answer:_______________




 

1)  

A rectangle has a perimeter of 152 cm.

The difference between its length and breadth is 26 cm.

Find its area.

Answer: 1275 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 152 - 26 - 26 = 100 cm

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

Step 3: Length of rectangle: 25 + 26 = 51 cm

Step 4: Area of rectangle: 51 x 25 = 1275 cm2

Its area is 1275 cm2.



2)  

A rectangle has a perimeter of 152 cm.

The difference between its length and breadth is 20 cm.

Find its area.

Answer: 1344 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 152 - 20 - 20 = 112 cm

Step 2: Breadth of rectangle: 112 ÷ 4 = 28 cm

Step 3: Length of rectangle: 28 + 20 = 48 cm

Step 4: Area of rectangle: 48 x 28 = 1344 cm2

Its area is 1344 cm2.



3)  

A rectangle has a perimeter of 128 cm.

The difference between its length and breadth is 10 cm.

Find its area.

Answer: 999 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 128 - 10 - 10 = 108 cm

Step 2: Breadth of rectangle: 108 ÷ 4 = 27 cm

Step 3: Length of rectangle: 27 + 10 = 37 cm

Step 4: Area of rectangle: 37 x 27 = 999 cm2

Its area is 999 cm2.



4)  

A rectangle has a perimeter of 124 cm.

The difference between its length and breadth is 26 cm.

Find its area.

Answer: 792 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 124 - 26 - 26 = 72 cm

Step 2: Breadth of rectangle: 72 ÷ 4 = 18 cm

Step 3: Length of rectangle: 18 + 26 = 44 cm

Step 4: Area of rectangle: 44 x 18 = 792 cm2

Its area is 792 cm2.



5)  

A rectangle has a perimeter of 232 cm.

The difference between its length and breadth is 28 cm.

Find its area.

Answer: 3168 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 232 - 28 - 28 = 176 cm

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

Step 3: Length of rectangle: 44 + 28 = 72 cm

Step 4: Area of rectangle: 72 x 44 = 3168 cm2

Its area is 3168 cm2.



6)  

A rectangle has a perimeter of 156 cm.

The difference between its length and breadth is 22 cm.

Find its area.

Answer: 1400 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 156 - 22 - 22 = 112 cm

Step 2: Breadth of rectangle: 112 ÷ 4 = 28 cm

Step 3: Length of rectangle: 28 + 22 = 50 cm

Step 4: Area of rectangle: 50 x 28 = 1400 cm2

Its area is 1400 cm2.



7)  

A rectangle has a perimeter of 120 cm.

The difference between its length and breadth is 22 cm.

Find its area.

Answer: 779 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 120 - 22 - 22 = 76 cm

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

Step 3: Length of rectangle: 19 + 22 = 41 cm

Step 4: Area of rectangle: 41 x 19 = 779 cm2

Its area is 779 cm2.



8)  

A rectangle has a perimeter of 128 cm.

The difference between its length and breadth is 14 cm.

Find its area.

Answer: 975 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 128 - 14 - 14 = 100 cm

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

Step 3: Length of rectangle: 25 + 14 = 39 cm

Step 4: Area of rectangle: 39 x 25 = 975 cm2

Its area is 975 cm2.



9)  

A rectangle has a perimeter of 148 cm.

The difference between its length and breadth is 24 cm.

Find its area.

Answer: 1225 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 148 - 24 - 24 = 100 cm

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

Step 3: Length of rectangle: 25 + 24 = 49 cm

Step 4: Area of rectangle: 49 x 25 = 1225 cm2

Its area is 1225 cm2.



10)  

A rectangle has a perimeter of 216 cm.

The difference between its length and breadth is 16 cm.

Find its area.

Answer: 2852 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 216 - 16 - 16 = 184 cm

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

Step 3: Length of rectangle: 46 + 16 = 62 cm

Step 4: Area of rectangle: 62 x 46 = 2852 cm2

Its area is 2852 cm2.