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 2 times the breadth of the field.
The perimeter of the field is 354 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 2 times the breadth of the field.
The perimeter of the field is 366 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 792 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 450 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 528 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 5 times the breadth of the field.
The perimeter of the field is 528 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 480 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 650 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 546 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 210 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 2 times the breadth of the field.
The perimeter of the field is 354 m. 
What is the length of the field

Answer: 236 m

What is the area of the field

Answer: 13924 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 354 ÷ 2 = 177 m

Step 2: Breadth of rectangle: 177 ÷ 3 = 59 m

Step 3: Length of rectangle: 59 x 2 = 236 m

The length of the field is 236 m.

Step 4: Area of rectangle: 59 x 236 = 13924 m2

The area of the field is 13924 m2.



2)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 366 m. 
What is the length of the field

Answer: 244 m

What is the area of the field

Answer: 14884 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 366 ÷ 2 = 183 m

Step 2: Breadth of rectangle: 183 ÷ 3 = 61 m

Step 3: Length of rectangle: 61 x 2 = 244 m

The length of the field is 244 m.

Step 4: Area of rectangle: 61 x 244 = 14884 m2

The area of the field is 14884 m2.



3)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 792 m. 
What is the length of the field

Answer: 660 m

What is the area of the field

Answer: 43560 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 792 ÷ 2 = 396 m

Step 2: Breadth of rectangle: 396 ÷ 6 = 66 m

Step 3: Length of rectangle: 66 x 5 = 660 m

The length of the field is 660 m.

Step 4: Area of rectangle: 66 x 660 = 43560 m2

The area of the field is 43560 m2.



4)  

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.



5)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 528 m. 
What is the length of the field

Answer: 396 m

What is the area of the field

Answer: 26136 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 528 ÷ 2 = 264 m

Step 2: Breadth of rectangle: 264 ÷ 4 = 66 m

Step 3: Length of rectangle: 66 x 3 = 396 m

The length of the field is 396 m.

Step 4: Area of rectangle: 66 x 396 = 26136 m2

The area of the field is 26136 m2.



6)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 528 m. 
What is the length of the field

Answer: 440 m

What is the area of the field

Answer: 19360 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 528 ÷ 2 = 264 m

Step 2: Breadth of rectangle: 264 ÷ 6 = 44 m

Step 3: Length of rectangle: 44 x 5 = 440 m

The length of the field is 440 m.

Step 4: Area of rectangle: 44 x 440 = 19360 m2

The area of the field is 19360 m2.



7)  

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.



8)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 650 m. 
What is the length of the field

Answer: 520 m

What is the area of the field

Answer: 33800 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 650 ÷ 2 = 325 m

Step 2: Breadth of rectangle: 325 ÷ 5 = 65 m

Step 3: Length of rectangle: 65 x 4 = 520 m

The length of the field is 520 m.

Step 4: Area of rectangle: 65 x 520 = 33800 m2

The area of the field is 33800 m2.



9)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 546 m. 
What is the length of the field

Answer: 364 m

What is the area of the field

Answer: 33124 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 546 ÷ 2 = 273 m

Step 2: Breadth of rectangle: 273 ÷ 3 = 91 m

Step 3: Length of rectangle: 91 x 2 = 364 m

The length of the field is 364 m.

Step 4: Area of rectangle: 91 x 364 = 33124 m2

The area of the field is 33124 m2.



10)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 210 m. 
What is the length of the field

Answer: 140 m

What is the area of the field

Answer: 4900 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 210 ÷ 2 = 105 m

Step 2: Breadth of rectangle: 105 ÷ 3 = 35 m

Step 3: Length of rectangle: 35 x 2 = 140 m

The length of the field is 140 m.

Step 4: Area of rectangle: 35 x 140 = 4900 m2

The area of the field is 4900 m2.