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 132 cm.

The difference between its length and breadth is 10 cm.

Find its area.

cm2


Answer:_______________




2)  

A rectangle has a perimeter of 188 cm.

The difference between its length and breadth is 22 cm.

Find its area.

cm2


Answer:_______________




3)  

A rectangle has a perimeter of 228 cm.

The difference between its length and breadth is 28 cm.

Find its area.

cm2


Answer:_______________




4)  

A rectangle has a perimeter of 232 cm.

The difference between its length and breadth is 16 cm.

Find its area.

cm2


Answer:_______________




5)  

A rectangle has a perimeter of 164 cm.

The difference between its length and breadth is 12 cm.

Find its area.

cm2


Answer:_______________




6)  

A rectangle has a perimeter of 224 cm.

The difference between its length and breadth is 26 cm.

Find its area.

cm2


Answer:_______________




7)  

A rectangle has a perimeter of 140 cm.

The difference between its length and breadth is 24 cm.

Find its area.

cm2


Answer:_______________




8)  

A rectangle has a perimeter of 152 cm.

The difference between its length and breadth is 18 cm.

Find its area.

cm2


Answer:_______________




9)  

A rectangle has a perimeter of 176 cm.

The difference between its length and breadth is 22 cm.

Find its area.

cm2


Answer:_______________




10)  

A rectangle has a perimeter of 184 cm.

The difference between its length and breadth is 16 cm.

Find its area.

cm2


Answer:_______________




 

1)  

A rectangle has a perimeter of 132 cm.

The difference between its length and breadth is 10 cm.

Find its area.

Answer: 1064 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 132 - 10 - 10 = 112 cm

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

Step 3: Length of rectangle: 28 + 10 = 38 cm

Step 4: Area of rectangle: 38 x 28 = 1064 cm2

Its area is 1064 cm2.



2)  

A rectangle has a perimeter of 188 cm.

The difference between its length and breadth is 22 cm.

Find its area.

Answer: 2088 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 188 - 22 - 22 = 144 cm

Step 2: Breadth of rectangle: 144 ÷ 4 = 36 cm

Step 3: Length of rectangle: 36 + 22 = 58 cm

Step 4: Area of rectangle: 58 x 36 = 2088 cm2

Its area is 2088 cm2.



3)  

A rectangle has a perimeter of 228 cm.

The difference between its length and breadth is 28 cm.

Find its area.

Answer: 3053 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 228 - 28 - 28 = 172 cm

Step 2: Breadth of rectangle: 172 ÷ 4 = 43 cm

Step 3: Length of rectangle: 43 + 28 = 71 cm

Step 4: Area of rectangle: 71 x 43 = 3053 cm2

Its area is 3053 cm2.



4)  

A rectangle has a perimeter of 232 cm.

The difference between its length and breadth is 16 cm.

Find its area.

Answer: 3300 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 232 - 16 - 16 = 200 cm

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

Step 3: Length of rectangle: 50 + 16 = 66 cm

Step 4: Area of rectangle: 66 x 50 = 3300 cm2

Its area is 3300 cm2.



5)  

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.



6)  

A rectangle has a perimeter of 224 cm.

The difference between its length and breadth is 26 cm.

Find its area.

Answer: 2967 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 224 - 26 - 26 = 172 cm

Step 2: Breadth of rectangle: 172 ÷ 4 = 43 cm

Step 3: Length of rectangle: 43 + 26 = 69 cm

Step 4: Area of rectangle: 69 x 43 = 2967 cm2

Its area is 2967 cm2.



7)  

A rectangle has a perimeter of 140 cm.

The difference between its length and breadth is 24 cm.

Find its area.

Answer: 1081 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 140 - 24 - 24 = 92 cm

Step 2: Breadth of rectangle: 92 ÷ 4 = 23 cm

Step 3: Length of rectangle: 23 + 24 = 47 cm

Step 4: Area of rectangle: 47 x 23 = 1081 cm2

Its area is 1081 cm2.



8)  

A rectangle has a perimeter of 152 cm.

The difference between its length and breadth is 18 cm.

Find its area.

Answer: 1363 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 152 - 18 - 18 = 116 cm

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

Step 3: Length of rectangle: 29 + 18 = 47 cm

Step 4: Area of rectangle: 47 x 29 = 1363 cm2

Its area is 1363 cm2.



9)  

A rectangle has a perimeter of 176 cm.

The difference between its length and breadth is 22 cm.

Find its area.

Answer: 1815 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 176 - 22 - 22 = 132 cm

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

Step 3: Length of rectangle: 33 + 22 = 55 cm

Step 4: Area of rectangle: 55 x 33 = 1815 cm2

Its area is 1815 cm2.



10)  

A rectangle has a perimeter of 184 cm.

The difference between its length and breadth is 16 cm.

Find its area.

Answer: 2052 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 184 - 16 - 16 = 152 cm

Step 2: Breadth of rectangle: 152 ÷ 4 = 38 cm

Step 3: Length of rectangle: 38 + 16 = 54 cm

Step 4: Area of rectangle: 54 x 38 = 2052 cm2

Its area is 2052 cm2.