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 164 cm.

The difference between its length and breadth is 26 cm.

Find its area.

cm2


Answer:_______________




2)  

A rectangle has a perimeter of 120 cm.

The difference between its length and breadth is 22 cm.

Find its area.

cm2


Answer:_______________




3)  

A rectangle has a perimeter of 100 cm.

The difference between its length and breadth is 28 cm.

Find its area.

cm2


Answer:_______________




4)  

A rectangle has a perimeter of 80 cm.

The difference between its length and breadth is 10 cm.

Find its area.

cm2


Answer:_______________




5)  

A rectangle has a perimeter of 172 cm.

The difference between its length and breadth is 28 cm.

Find its area.

cm2


Answer:_______________




6)  

A rectangle has a perimeter of 128 cm.

The difference between its length and breadth is 14 cm.

Find its area.

cm2


Answer:_______________




7)  

A rectangle has a perimeter of 164 cm.

The difference between its length and breadth is 12 cm.

Find its area.

cm2


Answer:_______________




8)  

A rectangle has a perimeter of 84 cm.

The difference between its length and breadth is 22 cm.

Find its area.

cm2


Answer:_______________




9)  

A rectangle has a perimeter of 236 cm.

The difference between its length and breadth is 14 cm.

Find its area.

cm2


Answer:_______________




10)  

A rectangle has a perimeter of 228 cm.

The difference between its length and breadth is 26 cm.

Find its area.

cm2


Answer:_______________




 

1)  

A rectangle has a perimeter of 164 cm.

The difference between its length and breadth is 26 cm.

Find its area.

Answer: 1512 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 164 - 26 - 26 = 112 cm

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

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

Step 4: Area of rectangle: 54 x 28 = 1512 cm2

Its area is 1512 cm2.



2)  

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.



3)  

A rectangle has a perimeter of 100 cm.

The difference between its length and breadth is 28 cm.

Find its area.

Answer: 429 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 100 - 28 - 28 = 44 cm

Step 2: Breadth of rectangle: 44 ÷ 4 = 11 cm

Step 3: Length of rectangle: 11 + 28 = 39 cm

Step 4: Area of rectangle: 39 x 11 = 429 cm2

Its area is 429 cm2.



4)  

A rectangle has a perimeter of 80 cm.

The difference between its length and breadth is 10 cm.

Find its area.

Answer: 375 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 80 - 10 - 10 = 60 cm

Step 2: Breadth of rectangle: 60 ÷ 4 = 15 cm

Step 3: Length of rectangle: 15 + 10 = 25 cm

Step 4: Area of rectangle: 25 x 15 = 375 cm2

Its area is 375 cm2.



5)  

A rectangle has a perimeter of 172 cm.

The difference between its length and breadth is 28 cm.

Find its area.

Answer: 1653 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 172 - 28 - 28 = 116 cm

Step 2: Breadth of rectangle: 116 ÷ 4 = 29 cm

Step 3: Length of rectangle: 29 + 28 = 57 cm

Step 4: Area of rectangle: 57 x 29 = 1653 cm2

Its area is 1653 cm2.



6)  

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.



7)  

A rectangle has a perimeter of 164 cm.

The difference between its length and breadth is 12 cm.

Find its area.

Answer: 1645 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 164 - 12 - 12 = 140 cm

Step 2: Breadth of rectangle: 140 ÷ 4 = 35 cm

Step 3: Length of rectangle: 35 + 12 = 47 cm

Step 4: Area of rectangle: 47 x 35 = 1645 cm2

Its area is 1645 cm2.



8)  

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.



9)  

A rectangle has a perimeter of 236 cm.

The difference between its length and breadth is 14 cm.

Find its area.

Answer: 3432 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 236 - 14 - 14 = 208 cm

Step 2: Breadth of rectangle: 208 ÷ 4 = 52 cm

Step 3: Length of rectangle: 52 + 14 = 66 cm

Step 4: Area of rectangle: 66 x 52 = 3432 cm2

Its area is 3432 cm2.



10)  

A rectangle has a perimeter of 228 cm.

The difference between its length and breadth is 26 cm.

Find its area.

Answer: 3080 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 228 - 26 - 26 = 176 cm

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

Step 3: Length of rectangle: 44 + 26 = 70 cm

Step 4: Area of rectangle: 70 x 44 = 3080 cm2

Its area is 3080 cm2.