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 196 cm.

The difference between its length and breadth is 14 cm.

Find its area.

cm2


Answer:_______________




2)  

A rectangle has a perimeter of 148 cm.

The difference between its length and breadth is 14 cm.

Find its area.

cm2


Answer:_______________




3)  

A rectangle has a perimeter of 188 cm.

The difference between its length and breadth is 12 cm.

Find its area.

cm2


Answer:_______________




4)  

A rectangle has a perimeter of 224 cm.

The difference between its length and breadth is 30 cm.

Find its area.

cm2


Answer:_______________




5)  

A rectangle has a perimeter of 236 cm.

The difference between its length and breadth is 20 cm.

Find its area.

cm2


Answer:_______________




6)  

A rectangle has a perimeter of 208 cm.

The difference between its length and breadth is 22 cm.

Find its area.

cm2


Answer:_______________




7)  

A rectangle has a perimeter of 108 cm.

The difference between its length and breadth is 18 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 224 cm.

The difference between its length and breadth is 14 cm.

Find its area.

cm2


Answer:_______________




10)  

A rectangle has a perimeter of 184 cm.

The difference between its length and breadth is 12 cm.

Find its area.

cm2


Answer:_______________




 

1)  

A rectangle has a perimeter of 196 cm.

The difference between its length and breadth is 14 cm.

Find its area.

Answer: 2352 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 196 - 14 - 14 = 168 cm

Step 2: Breadth of rectangle: 168 ÷ 4 = 42 cm

Step 3: Length of rectangle: 42 + 14 = 56 cm

Step 4: Area of rectangle: 56 x 42 = 2352 cm2

Its area is 2352 cm2.



2)  

A rectangle has a perimeter of 148 cm.

The difference between its length and breadth is 14 cm.

Find its area.

Answer: 1320 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 148 - 14 - 14 = 120 cm

Step 2: Breadth of rectangle: 120 ÷ 4 = 30 cm

Step 3: Length of rectangle: 30 + 14 = 44 cm

Step 4: Area of rectangle: 44 x 30 = 1320 cm2

Its area is 1320 cm2.



3)  

A rectangle has a perimeter of 188 cm.

The difference between its length and breadth is 12 cm.

Find its area.

Answer: 2173 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 188 - 12 - 12 = 164 cm

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

Step 3: Length of rectangle: 41 + 12 = 53 cm

Step 4: Area of rectangle: 53 x 41 = 2173 cm2

Its area is 2173 cm2.



4)  

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.



5)  

A rectangle has a perimeter of 236 cm.

The difference between its length and breadth is 20 cm.

Find its area.

Answer: 3381 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 236 - 20 - 20 = 196 cm

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

Step 3: Length of rectangle: 49 + 20 = 69 cm

Step 4: Area of rectangle: 69 x 49 = 3381 cm2

Its area is 3381 cm2.



6)  

A rectangle has a perimeter of 208 cm.

The difference between its length and breadth is 22 cm.

Find its area.

Answer: 2583 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 208 - 22 - 22 = 164 cm

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

Step 3: Length of rectangle: 41 + 22 = 63 cm

Step 4: Area of rectangle: 63 x 41 = 2583 cm2

Its area is 2583 cm2.



7)  

A rectangle has a perimeter of 108 cm.

The difference between its length and breadth is 18 cm.

Find its area.

Answer: 648 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 108 - 18 - 18 = 72 cm

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

Step 3: Length of rectangle: 18 + 18 = 36 cm

Step 4: Area of rectangle: 36 x 18 = 648 cm2

Its area is 648 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 224 cm.

The difference between its length and breadth is 14 cm.

Find its area.

Answer: 3087 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 224 - 14 - 14 = 196 cm

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

Step 3: Length of rectangle: 49 + 14 = 63 cm

Step 4: Area of rectangle: 63 x 49 = 3087 cm2

Its area is 3087 cm2.



10)  

A rectangle has a perimeter of 184 cm.

The difference between its length and breadth is 12 cm.

Find its area.

Answer: 2080 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 184 - 12 - 12 = 160 cm

Step 2: Breadth of rectangle: 160 ÷ 4 = 40 cm

Step 3: Length of rectangle: 40 + 12 = 52 cm

Step 4: Area of rectangle: 52 x 40 = 2080 cm2

Its area is 2080 cm2.