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 444 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 252 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 456 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 330 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 360 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 770 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 690 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 584 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 4 times the breadth of the field.
The perimeter of the field is 810 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 320 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 444 m. 
What is the length of the field

Answer: 370 m

What is the area of the field

Answer: 13690 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 444 ÷ 2 = 222 m

Step 2: Breadth of rectangle: 222 ÷ 6 = 37 m

Step 3: Length of rectangle: 37 x 5 = 370 m

The length of the field is 370 m.

Step 4: Area of rectangle: 37 x 370 = 13690 m2

The area of the field is 13690 m2.



2)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 252 m. 
What is the length of the field

Answer: 210 m

What is the area of the field

Answer: 4410 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 252 ÷ 2 = 126 m

Step 2: Breadth of rectangle: 126 ÷ 6 = 21 m

Step 3: Length of rectangle: 21 x 5 = 210 m

The length of the field is 210 m.

Step 4: Area of rectangle: 21 x 210 = 4410 m2

The area of the field is 4410 m2.



3)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 456 m. 
What is the length of the field

Answer: 304 m

What is the area of the field

Answer: 23104 m2


SOLUTION 1 :

L : B
2 : 1

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

Step 2: Breadth of rectangle: 228 ÷ 3 = 76 m

Step 3: Length of rectangle: 76 x 2 = 304 m

The length of the field is 304 m.

Step 4: Area of rectangle: 76 x 304 = 23104 m2

The area of the field is 23104 m2.



4)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 330 m. 
What is the length of the field

Answer: 220 m

What is the area of the field

Answer: 12100 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 330 ÷ 2 = 165 m

Step 2: Breadth of rectangle: 165 ÷ 3 = 55 m

Step 3: Length of rectangle: 55 x 2 = 220 m

The length of the field is 220 m.

Step 4: Area of rectangle: 55 x 220 = 12100 m2

The area of the field is 12100 m2.



5)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 360 m. 
What is the length of the field

Answer: 300 m

What is the area of the field

Answer: 9000 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 360 ÷ 2 = 180 m

Step 2: Breadth of rectangle: 180 ÷ 6 = 30 m

Step 3: Length of rectangle: 30 x 5 = 300 m

The length of the field is 300 m.

Step 4: Area of rectangle: 30 x 300 = 9000 m2

The area of the field is 9000 m2.



6)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 770 m. 
What is the length of the field

Answer: 616 m

What is the area of the field

Answer: 47432 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 770 ÷ 2 = 385 m

Step 2: Breadth of rectangle: 385 ÷ 5 = 77 m

Step 3: Length of rectangle: 77 x 4 = 616 m

The length of the field is 616 m.

Step 4: Area of rectangle: 77 x 616 = 47432 m2

The area of the field is 47432 m2.



7)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 690 m. 
What is the length of the field

Answer: 552 m

What is the area of the field

Answer: 38088 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 690 ÷ 2 = 345 m

Step 2: Breadth of rectangle: 345 ÷ 5 = 69 m

Step 3: Length of rectangle: 69 x 4 = 552 m

The length of the field is 552 m.

Step 4: Area of rectangle: 69 x 552 = 38088 m2

The area of the field is 38088 m2.



8)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 584 m. 
What is the length of the field

Answer: 438 m

What is the area of the field

Answer: 31974 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 584 ÷ 2 = 292 m

Step 2: Breadth of rectangle: 292 ÷ 4 = 73 m

Step 3: Length of rectangle: 73 x 3 = 438 m

The length of the field is 438 m.

Step 4: Area of rectangle: 73 x 438 = 31974 m2

The area of the field is 31974 m2.



9)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 810 m. 
What is the length of the field

Answer: 648 m

What is the area of the field

Answer: 52488 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 810 ÷ 2 = 405 m

Step 2: Breadth of rectangle: 405 ÷ 5 = 81 m

Step 3: Length of rectangle: 81 x 4 = 648 m

The length of the field is 648 m.

Step 4: Area of rectangle: 81 x 648 = 52488 m2

The area of the field is 52488 m2.



10)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 320 m. 
What is the length of the field

Answer: 256 m

What is the area of the field

Answer: 8192 m2


SOLUTION 1 :

L : B
4 : 1

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

Step 2: Breadth of rectangle: 160 ÷ 5 = 32 m

Step 3: Length of rectangle: 32 x 4 = 256 m

The length of the field is 256 m.

Step 4: Area of rectangle: 32 x 256 = 8192 m2

The area of the field is 8192 m2.