Scroll:Measurement >> Perimeter >> 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 4 times the breadth of the field.
The perimeter of the field is 410 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 504 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 3 times the breadth of the field.
The perimeter of the field is 536 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 2 times the breadth of the field.
The perimeter of the field is 168 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 480 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 582 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 2 times the breadth of the field.
The perimeter of the field is 276 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 4 times the breadth of the field.
The perimeter of the field is 560 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 162 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 4 times the breadth of the field.
The perimeter of the field is 100 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 4 times the breadth of the field.
The perimeter of the field is 410 m. 
What is the length of the field

Answer: 328 m

What is the area of the field

Answer: 13448 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 410 ÷ 2 = 205 m

Step 2: Breadth of rectangle: 205 ÷ 5 = 41 m

Step 3: Length of rectangle: 41 x 4 = 328 m

The length of the field is 328 m.

Step 4: Area of rectangle: 41 x 328 = 13448 m2

The area of the field is 13448 m2.



2)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 504 m. 
What is the length of the field

Answer: 420 m

What is the area of the field

Answer: 17640 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 504 ÷ 2 = 252 m

Step 2: Breadth of rectangle: 252 ÷ 6 = 42 m

Step 3: Length of rectangle: 42 x 5 = 420 m

The length of the field is 420 m.

Step 4: Area of rectangle: 42 x 420 = 17640 m2

The area of the field is 17640 m2.



3)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 536 m. 
What is the length of the field

Answer: 402 m

What is the area of the field

Answer: 26934 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 536 ÷ 2 = 268 m

Step 2: Breadth of rectangle: 268 ÷ 4 = 67 m

Step 3: Length of rectangle: 67 x 3 = 402 m

The length of the field is 402 m.

Step 4: Area of rectangle: 67 x 402 = 26934 m2

The area of the field is 26934 m2.



4)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 168 m. 
What is the length of the field

Answer: 112 m

What is the area of the field

Answer: 3136 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 168 ÷ 2 = 84 m

Step 2: Breadth of rectangle: 84 ÷ 3 = 28 m

Step 3: Length of rectangle: 28 x 2 = 112 m

The length of the field is 112 m.

Step 4: Area of rectangle: 28 x 112 = 3136 m2

The area of the field is 3136 m2.



5)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 480 m. 
What is the length of the field

Answer: 360 m

What is the area of the field

Answer: 21600 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 480 ÷ 2 = 240 m

Step 2: Breadth of rectangle: 240 ÷ 4 = 60 m

Step 3: Length of rectangle: 60 x 3 = 360 m

The length of the field is 360 m.

Step 4: Area of rectangle: 60 x 360 = 21600 m2

The area of the field is 21600 m2.



6)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 582 m. 
What is the length of the field

Answer: 388 m

What is the area of the field

Answer: 37636 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 582 ÷ 2 = 291 m

Step 2: Breadth of rectangle: 291 ÷ 3 = 97 m

Step 3: Length of rectangle: 97 x 2 = 388 m

The length of the field is 388 m.

Step 4: Area of rectangle: 97 x 388 = 37636 m2

The area of the field is 37636 m2.



7)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 276 m. 
What is the length of the field

Answer: 184 m

What is the area of the field

Answer: 8464 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 276 ÷ 2 = 138 m

Step 2: Breadth of rectangle: 138 ÷ 3 = 46 m

Step 3: Length of rectangle: 46 x 2 = 184 m

The length of the field is 184 m.

Step 4: Area of rectangle: 46 x 184 = 8464 m2

The area of the field is 8464 m2.



8)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 560 m. 
What is the length of the field

Answer: 448 m

What is the area of the field

Answer: 25088 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 560 ÷ 2 = 280 m

Step 2: Breadth of rectangle: 280 ÷ 5 = 56 m

Step 3: Length of rectangle: 56 x 4 = 448 m

The length of the field is 448 m.

Step 4: Area of rectangle: 56 x 448 = 25088 m2

The area of the field is 25088 m2.



9)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 162 m. 
What is the length of the field

Answer: 108 m

What is the area of the field

Answer: 2916 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 162 ÷ 2 = 81 m

Step 2: Breadth of rectangle: 81 ÷ 3 = 27 m

Step 3: Length of rectangle: 27 x 2 = 108 m

The length of the field is 108 m.

Step 4: Area of rectangle: 27 x 108 = 2916 m2

The area of the field is 2916 m2.



10)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 100 m. 
What is the length of the field

Answer: 80 m

What is the area of the field

Answer: 800 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 100 ÷ 2 = 50 m

Step 2: Breadth of rectangle: 50 ÷ 5 = 10 m

Step 3: Length of rectangle: 10 x 4 = 80 m

The length of the field is 80 m.

Step 4: Area of rectangle: 10 x 80 = 800 m2

The area of the field is 800 m2.