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 228 cm.

The difference between its length and breadth is 30 cm.

Find its area.

cm2


Answer:_______________




2)  

A rectangle has a perimeter of 160 cm.

The difference between its length and breadth is 14 cm.

Find its area.

cm2


Answer:_______________




3)  

A rectangle has a perimeter of 120 cm.

The difference between its length and breadth is 26 cm.

Find its area.

cm2


Answer:_______________




4)  

A rectangle has a perimeter of 200 cm.

The difference between its length and breadth is 24 cm.

Find its area.

cm2


Answer:_______________




5)  

A rectangle has a perimeter of 180 cm.

The difference between its length and breadth is 20 cm.

Find its area.

cm2


Answer:_______________




6)  

A rectangle has a perimeter of 144 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 10 cm.

Find its area.

cm2


Answer:_______________




8)  

A rectangle has a perimeter of 176 cm.

The difference between its length and breadth is 18 cm.

Find its area.

cm2


Answer:_______________




9)  

A rectangle has a perimeter of 108 cm.

The difference between its length and breadth is 14 cm.

Find its area.

cm2


Answer:_______________




10)  

A rectangle has a perimeter of 148 cm.

The difference between its length and breadth is 28 cm.

Find its area.

cm2


Answer:_______________




 

1)  

A rectangle has a perimeter of 228 cm.

The difference between its length and breadth is 30 cm.

Find its area.

Answer: 3024 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 228 - 30 - 30 = 168 cm

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

Step 3: Length of rectangle: 42 + 30 = 72 cm

Step 4: Area of rectangle: 72 x 42 = 3024 cm2

Its area is 3024 cm2.



2)  

A rectangle has a perimeter of 160 cm.

The difference between its length and breadth is 14 cm.

Find its area.

Answer: 1551 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 160 - 14 - 14 = 132 cm

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

Step 3: Length of rectangle: 33 + 14 = 47 cm

Step 4: Area of rectangle: 47 x 33 = 1551 cm2

Its area is 1551 cm2.



3)  

A rectangle has a perimeter of 120 cm.

The difference between its length and breadth is 26 cm.

Find its area.

Answer: 731 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 120 - 26 - 26 = 68 cm

Step 2: Breadth of rectangle: 68 ÷ 4 = 17 cm

Step 3: Length of rectangle: 17 + 26 = 43 cm

Step 4: Area of rectangle: 43 x 17 = 731 cm2

Its area is 731 cm2.



4)  

A rectangle has a perimeter of 200 cm.

The difference between its length and breadth is 24 cm.

Find its area.

Answer: 2356 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 200 - 24 - 24 = 152 cm

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

Step 3: Length of rectangle: 38 + 24 = 62 cm

Step 4: Area of rectangle: 62 x 38 = 2356 cm2

Its area is 2356 cm2.



5)  

A rectangle has a perimeter of 180 cm.

The difference between its length and breadth is 20 cm.

Find its area.

Answer: 1925 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 180 - 20 - 20 = 140 cm

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

Step 3: Length of rectangle: 35 + 20 = 55 cm

Step 4: Area of rectangle: 55 x 35 = 1925 cm2

Its area is 1925 cm2.



6)  

A rectangle has a perimeter of 144 cm.

The difference between its length and breadth is 22 cm.

Find its area.

Answer: 1175 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 144 - 22 - 22 = 100 cm

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

Step 3: Length of rectangle: 25 + 22 = 47 cm

Step 4: Area of rectangle: 47 x 25 = 1175 cm2

Its area is 1175 cm2.



7)  

A rectangle has a perimeter of 108 cm.

The difference between its length and breadth is 10 cm.

Find its area.

Answer: 704 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 108 - 10 - 10 = 88 cm

Step 2: Breadth of rectangle: 88 ÷ 4 = 22 cm

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

Step 4: Area of rectangle: 32 x 22 = 704 cm2

Its area is 704 cm2.



8)  

A rectangle has a perimeter of 176 cm.

The difference between its length and breadth is 18 cm.

Find its area.

Answer: 1855 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 176 - 18 - 18 = 140 cm

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

Step 3: Length of rectangle: 35 + 18 = 53 cm

Step 4: Area of rectangle: 53 x 35 = 1855 cm2

Its area is 1855 cm2.



9)  

A rectangle has a perimeter of 108 cm.

The difference between its length and breadth is 14 cm.

Find its area.

Answer: 680 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 108 - 14 - 14 = 80 cm

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

Step 3: Length of rectangle: 20 + 14 = 34 cm

Step 4: Area of rectangle: 34 x 20 = 680 cm2

Its area is 680 cm2.



10)  

A rectangle has a perimeter of 148 cm.

The difference between its length and breadth is 28 cm.

Find its area.

Answer: 1173 cm2


SOLUTION 1 :

Step 1: Perimeter of rectangle if length is the same as breadth: 148 - 28 - 28 = 92 cm

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

Step 3: Length of rectangle: 23 + 28 = 51 cm

Step 4: Area of rectangle: 51 x 23 = 1173 cm2

Its area is 1173 cm2.