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 5 times the breadth of the field.
The perimeter of the field is 576 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 4 times the breadth of the field.
The perimeter of the field is 250 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 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:_______________




4)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 376 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 5 times the breadth of the field.
The perimeter of the field is 540 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 540 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 3 times the breadth of the field.
The perimeter of the field is 456 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 410 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 5 times the breadth of the field.
The perimeter of the field is 840 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 564 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 5 times the breadth of the field.
The perimeter of the field is 576 m. 
What is the length of the field

Answer: 480 m

What is the area of the field

Answer: 23040 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 576 ÷ 2 = 288 m

Step 2: Breadth of rectangle: 288 ÷ 6 = 48 m

Step 3: Length of rectangle: 48 x 5 = 480 m

The length of the field is 480 m.

Step 4: Area of rectangle: 48 x 480 = 23040 m2

The area of the field is 23040 m2.



2)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 250 m. 
What is the length of the field

Answer: 200 m

What is the area of the field

Answer: 5000 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 250 ÷ 2 = 125 m

Step 2: Breadth of rectangle: 125 ÷ 5 = 25 m

Step 3: Length of rectangle: 25 x 4 = 200 m

The length of the field is 200 m.

Step 4: Area of rectangle: 25 x 200 = 5000 m2

The area of the field is 5000 m2.



3)  

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.



4)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 376 m. 
What is the length of the field

Answer: 282 m

What is the area of the field

Answer: 13254 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 376 ÷ 2 = 188 m

Step 2: Breadth of rectangle: 188 ÷ 4 = 47 m

Step 3: Length of rectangle: 47 x 3 = 282 m

The length of the field is 282 m.

Step 4: Area of rectangle: 47 x 282 = 13254 m2

The area of the field is 13254 m2.



5)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 540 m. 
What is the length of the field

Answer: 450 m

What is the area of the field

Answer: 20250 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 540 ÷ 2 = 270 m

Step 2: Breadth of rectangle: 270 ÷ 6 = 45 m

Step 3: Length of rectangle: 45 x 5 = 450 m

The length of the field is 450 m.

Step 4: Area of rectangle: 45 x 450 = 20250 m2

The area of the field is 20250 m2.



6)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 540 m. 
What is the length of the field

Answer: 432 m

What is the area of the field

Answer: 23328 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 540 ÷ 2 = 270 m

Step 2: Breadth of rectangle: 270 ÷ 5 = 54 m

Step 3: Length of rectangle: 54 x 4 = 432 m

The length of the field is 432 m.

Step 4: Area of rectangle: 54 x 432 = 23328 m2

The area of the field is 23328 m2.



7)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 456 m. 
What is the length of the field

Answer: 342 m

What is the area of the field

Answer: 19494 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 456 ÷ 2 = 228 m

Step 2: Breadth of rectangle: 228 ÷ 4 = 57 m

Step 3: Length of rectangle: 57 x 3 = 342 m

The length of the field is 342 m.

Step 4: Area of rectangle: 57 x 342 = 19494 m2

The area of the field is 19494 m2.



8)  

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.



9)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 840 m. 
What is the length of the field

Answer: 700 m

What is the area of the field

Answer: 49000 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 840 ÷ 2 = 420 m

Step 2: Breadth of rectangle: 420 ÷ 6 = 70 m

Step 3: Length of rectangle: 70 x 5 = 700 m

The length of the field is 700 m.

Step 4: Area of rectangle: 70 x 700 = 49000 m2

The area of the field is 49000 m2.



10)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 564 m. 
What is the length of the field

Answer: 470 m

What is the area of the field

Answer: 22090 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 564 ÷ 2 = 282 m

Step 2: Breadth of rectangle: 282 ÷ 6 = 47 m

Step 3: Length of rectangle: 47 x 5 = 470 m

The length of the field is 470 m.

Step 4: Area of rectangle: 47 x 470 = 22090 m2

The area of the field is 22090 m2.