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 940 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 950 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 688 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 304 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 4 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:_______________




6)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 930 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 5 times the breadth of the field.
The perimeter of the field is 396 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 2 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:_______________




9)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 450 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 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:_______________




 

1)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 940 m. 
What is the length of the field

Answer: 752 m

What is the area of the field

Answer: 70688 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 940 ÷ 2 = 470 m

Step 2: Breadth of rectangle: 470 ÷ 5 = 94 m

Step 3: Length of rectangle: 94 x 4 = 752 m

The length of the field is 752 m.

Step 4: Area of rectangle: 94 x 752 = 70688 m2

The area of the field is 70688 m2.



2)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 950 m. 
What is the length of the field

Answer: 760 m

What is the area of the field

Answer: 72200 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 950 ÷ 2 = 475 m

Step 2: Breadth of rectangle: 475 ÷ 5 = 95 m

Step 3: Length of rectangle: 95 x 4 = 760 m

The length of the field is 760 m.

Step 4: Area of rectangle: 95 x 760 = 72200 m2

The area of the field is 72200 m2.



3)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 688 m. 
What is the length of the field

Answer: 516 m

What is the area of the field

Answer: 44376 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 688 ÷ 2 = 344 m

Step 2: Breadth of rectangle: 344 ÷ 4 = 86 m

Step 3: Length of rectangle: 86 x 3 = 516 m

The length of the field is 516 m.

Step 4: Area of rectangle: 86 x 516 = 44376 m2

The area of the field is 44376 m2.



4)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 304 m. 
What is the length of the field

Answer: 228 m

What is the area of the field

Answer: 8664 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 304 ÷ 2 = 152 m

Step 2: Breadth of rectangle: 152 ÷ 4 = 38 m

Step 3: Length of rectangle: 38 x 3 = 228 m

The length of the field is 228 m.

Step 4: Area of rectangle: 38 x 228 = 8664 m2

The area of the field is 8664 m2.



5)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 180 m. 
What is the length of the field

Answer: 144 m

What is the area of the field

Answer: 2592 m2


SOLUTION 1 :

L : B
4 : 1

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

Step 2: Breadth of rectangle: 90 ÷ 5 = 18 m

Step 3: Length of rectangle: 18 x 4 = 144 m

The length of the field is 144 m.

Step 4: Area of rectangle: 18 x 144 = 2592 m2

The area of the field is 2592 m2.



6)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 930 m. 
What is the length of the field

Answer: 744 m

What is the area of the field

Answer: 69192 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 930 ÷ 2 = 465 m

Step 2: Breadth of rectangle: 465 ÷ 5 = 93 m

Step 3: Length of rectangle: 93 x 4 = 744 m

The length of the field is 744 m.

Step 4: Area of rectangle: 93 x 744 = 69192 m2

The area of the field is 69192 m2.



7)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 396 m. 
What is the length of the field

Answer: 330 m

What is the area of the field

Answer: 10890 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 396 ÷ 2 = 198 m

Step 2: Breadth of rectangle: 198 ÷ 6 = 33 m

Step 3: Length of rectangle: 33 x 5 = 330 m

The length of the field is 330 m.

Step 4: Area of rectangle: 33 x 330 = 10890 m2

The area of the field is 10890 m2.



8)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 252 m. 
What is the length of the field

Answer: 168 m

What is the area of the field

Answer: 7056 m2


SOLUTION 1 :

L : B
2 : 1

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

Step 2: Breadth of rectangle: 126 ÷ 3 = 42 m

Step 3: Length of rectangle: 42 x 2 = 168 m

The length of the field is 168 m.

Step 4: Area of rectangle: 42 x 168 = 7056 m2

The area of the field is 7056 m2.



9)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 450 m. 
What is the length of the field

Answer: 300 m

What is the area of the field

Answer: 22500 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 450 ÷ 2 = 225 m

Step 2: Breadth of rectangle: 225 ÷ 3 = 75 m

Step 3: Length of rectangle: 75 x 2 = 300 m

The length of the field is 300 m.

Step 4: Area of rectangle: 75 x 300 = 22500 m2

The area of the field is 22500 m2.



10)  

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.