Scroll:Measurement >> Area >> ps (1155)


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)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 192 m. 
What is the length of the field

m

What is the area of the field

m2


Answer:_______________




2)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 324 m. 
What is the length of the field

m

What is the area of the field

m2


Answer:_______________




3)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 900 m. 
What is the length of the field

m

What is the area of the field

m2


Answer:_______________




4)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 230 m. 
What is the length of the field

m

What is the area of the field

m2


Answer:_______________




5)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 640 m. 
What is the length of the field

m

What is the area of the field

m2


Answer:_______________




6)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 180 m. 
What is the length of the field

m

What is the area of the field

m2


Answer:_______________




7)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 460 m. 
What is the length of the field

m

What is the area of the field

m2


Answer:_______________




8)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 760 m. 
What is the length of the field

m

What is the area of the field

m2


Answer:_______________




9)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 306 m. 
What is the length of the field

m

What is the area of the field

m2


Answer:_______________




10)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 88 m. 
What is the length of the field

m

What is the area of the field

m2


Answer:_______________




 

1)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 192 m. 
What is the length of the field

Answer: 128 m

What is the area of the field

Answer: 4096 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 192 ÷ 2 = 96 m

Step 2: Breadth of rectangle: 96 ÷ 3 = 32 m

Step 3: Length of rectangle: 32 x 2 = 128 m

The length of the field is 128 m.

Step 4: Area of rectangle: 32 x 128 = 4096 m2

The area of the field is 4096 m2.



2)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 324 m. 
What is the length of the field

Answer: 270 m

What is the area of the field

Answer: 7290 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 324 ÷ 2 = 162 m

Step 2: Breadth of rectangle: 162 ÷ 6 = 27 m

Step 3: Length of rectangle: 27 x 5 = 270 m

The length of the field is 270 m.

Step 4: Area of rectangle: 27 x 270 = 7290 m2

The area of the field is 7290 m2.



3)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 900 m. 
What is the length of the field

Answer: 750 m

What is the area of the field

Answer: 56250 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 900 ÷ 2 = 450 m

Step 2: Breadth of rectangle: 450 ÷ 6 = 75 m

Step 3: Length of rectangle: 75 x 5 = 750 m

The length of the field is 750 m.

Step 4: Area of rectangle: 75 x 750 = 56250 m2

The area of the field is 56250 m2.



4)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 230 m. 
What is the length of the field

Answer: 184 m

What is the area of the field

Answer: 4232 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 230 ÷ 2 = 115 m

Step 2: Breadth of rectangle: 115 ÷ 5 = 23 m

Step 3: Length of rectangle: 23 x 4 = 184 m

The length of the field is 184 m.

Step 4: Area of rectangle: 23 x 184 = 4232 m2

The area of the field is 4232 m2.



5)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 640 m. 
What is the length of the field

Answer: 480 m

What is the area of the field

Answer: 38400 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 640 ÷ 2 = 320 m

Step 2: Breadth of rectangle: 320 ÷ 4 = 80 m

Step 3: Length of rectangle: 80 x 3 = 480 m

The length of the field is 480 m.

Step 4: Area of rectangle: 80 x 480 = 38400 m2

The area of the field is 38400 m2.



6)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 180 m. 
What is the length of the field

Answer: 120 m

What is the area of the field

Answer: 3600 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 180 ÷ 2 = 90 m

Step 2: Breadth of rectangle: 90 ÷ 3 = 30 m

Step 3: Length of rectangle: 30 x 2 = 120 m

The length of the field is 120 m.

Step 4: Area of rectangle: 30 x 120 = 3600 m2

The area of the field is 3600 m2.



7)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 460 m. 
What is the length of the field

Answer: 368 m

What is the area of the field

Answer: 16928 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 460 ÷ 2 = 230 m

Step 2: Breadth of rectangle: 230 ÷ 5 = 46 m

Step 3: Length of rectangle: 46 x 4 = 368 m

The length of the field is 368 m.

Step 4: Area of rectangle: 46 x 368 = 16928 m2

The area of the field is 16928 m2.



8)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 760 m. 
What is the length of the field

Answer: 570 m

What is the area of the field

Answer: 54150 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 760 ÷ 2 = 380 m

Step 2: Breadth of rectangle: 380 ÷ 4 = 95 m

Step 3: Length of rectangle: 95 x 3 = 570 m

The length of the field is 570 m.

Step 4: Area of rectangle: 95 x 570 = 54150 m2

The area of the field is 54150 m2.



9)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 306 m. 
What is the length of the field

Answer: 204 m

What is the area of the field

Answer: 10404 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 306 ÷ 2 = 153 m

Step 2: Breadth of rectangle: 153 ÷ 3 = 51 m

Step 3: Length of rectangle: 51 x 2 = 204 m

The length of the field is 204 m.

Step 4: Area of rectangle: 51 x 204 = 10404 m2

The area of the field is 10404 m2.



10)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 88 m. 
What is the length of the field

Answer: 66 m

What is the area of the field

Answer: 726 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 88 ÷ 2 = 44 m

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

Step 3: Length of rectangle: 11 x 3 = 66 m

The length of the field is 66 m.

Step 4: Area of rectangle: 11 x 66 = 726 m2

The area of the field is 726 m2.