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 4 times the breadth of the field.
The perimeter of the field is 530 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 3 times the breadth of the field.
The perimeter of the field is 440 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 864 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 294 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 2 times the breadth of the field.
The perimeter of the field is 426 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 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:_______________




7)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 246 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 488 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 3 times the breadth of the field.
The perimeter of the field is 320 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 5 times the breadth of the field.
The perimeter of the field is 996 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 530 m. 
What is the length of the field

Answer: 424 m

What is the area of the field

Answer: 22472 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 530 ÷ 2 = 265 m

Step 2: Breadth of rectangle: 265 ÷ 5 = 53 m

Step 3: Length of rectangle: 53 x 4 = 424 m

The length of the field is 424 m.

Step 4: Area of rectangle: 53 x 424 = 22472 m2

The area of the field is 22472 m2.



2)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 440 m. 
What is the length of the field

Answer: 330 m

What is the area of the field

Answer: 18150 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 440 ÷ 2 = 220 m

Step 2: Breadth of rectangle: 220 ÷ 4 = 55 m

Step 3: Length of rectangle: 55 x 3 = 330 m

The length of the field is 330 m.

Step 4: Area of rectangle: 55 x 330 = 18150 m2

The area of the field is 18150 m2.



3)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 864 m. 
What is the length of the field

Answer: 720 m

What is the area of the field

Answer: 51840 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 864 ÷ 2 = 432 m

Step 2: Breadth of rectangle: 432 ÷ 6 = 72 m

Step 3: Length of rectangle: 72 x 5 = 720 m

The length of the field is 720 m.

Step 4: Area of rectangle: 72 x 720 = 51840 m2

The area of the field is 51840 m2.



4)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 294 m. 
What is the length of the field

Answer: 196 m

What is the area of the field

Answer: 9604 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 294 ÷ 2 = 147 m

Step 2: Breadth of rectangle: 147 ÷ 3 = 49 m

Step 3: Length of rectangle: 49 x 2 = 196 m

The length of the field is 196 m.

Step 4: Area of rectangle: 49 x 196 = 9604 m2

The area of the field is 9604 m2.



5)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 426 m. 
What is the length of the field

Answer: 284 m

What is the area of the field

Answer: 20164 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 426 ÷ 2 = 213 m

Step 2: Breadth of rectangle: 213 ÷ 3 = 71 m

Step 3: Length of rectangle: 71 x 2 = 284 m

The length of the field is 284 m.

Step 4: Area of rectangle: 71 x 284 = 20164 m2

The area of the field is 20164 m2.



6)  

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.



7)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 246 m. 
What is the length of the field

Answer: 164 m

What is the area of the field

Answer: 6724 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 246 ÷ 2 = 123 m

Step 2: Breadth of rectangle: 123 ÷ 3 = 41 m

Step 3: Length of rectangle: 41 x 2 = 164 m

The length of the field is 164 m.

Step 4: Area of rectangle: 41 x 164 = 6724 m2

The area of the field is 6724 m2.



8)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 488 m. 
What is the length of the field

Answer: 366 m

What is the area of the field

Answer: 22326 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 488 ÷ 2 = 244 m

Step 2: Breadth of rectangle: 244 ÷ 4 = 61 m

Step 3: Length of rectangle: 61 x 3 = 366 m

The length of the field is 366 m.

Step 4: Area of rectangle: 61 x 366 = 22326 m2

The area of the field is 22326 m2.



9)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 320 m. 
What is the length of the field

Answer: 240 m

What is the area of the field

Answer: 9600 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 320 ÷ 2 = 160 m

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

Step 3: Length of rectangle: 40 x 3 = 240 m

The length of the field is 240 m.

Step 4: Area of rectangle: 40 x 240 = 9600 m2

The area of the field is 9600 m2.



10)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 996 m. 
What is the length of the field

Answer: 830 m

What is the area of the field

Answer: 68890 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 996 ÷ 2 = 498 m

Step 2: Breadth of rectangle: 498 ÷ 6 = 83 m

Step 3: Length of rectangle: 83 x 5 = 830 m

The length of the field is 830 m.

Step 4: Area of rectangle: 83 x 830 = 68890 m2

The area of the field is 68890 m2.