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 312 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 912 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 324 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 4 times the breadth of the field.
The perimeter of the field is 630 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 114 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 2 times the breadth of the field.
The perimeter of the field is 342 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 924 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 96 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 648 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 3 times the breadth of the field.
The perimeter of the field is 560 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 312 m. 
What is the length of the field

Answer: 260 m

What is the area of the field

Answer: 6760 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 312 ÷ 2 = 156 m

Step 2: Breadth of rectangle: 156 ÷ 6 = 26 m

Step 3: Length of rectangle: 26 x 5 = 260 m

The length of the field is 260 m.

Step 4: Area of rectangle: 26 x 260 = 6760 m2

The area of the field is 6760 m2.



2)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 912 m. 
What is the length of the field

Answer: 760 m

What is the area of the field

Answer: 57760 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 912 ÷ 2 = 456 m

Step 2: Breadth of rectangle: 456 ÷ 6 = 76 m

Step 3: Length of rectangle: 76 x 5 = 760 m

The length of the field is 760 m.

Step 4: Area of rectangle: 76 x 760 = 57760 m2

The area of the field is 57760 m2.



3)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 324 m. 
What is the length of the field

Answer: 270 m

What is the area of the field

Answer: 7290 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 324 ÷ 2 = 162 m

Step 2: Breadth of rectangle: 162 ÷ 6 = 27 m

Step 3: Length of rectangle: 27 x 5 = 270 m

The length of the field is 270 m.

Step 4: Area of rectangle: 27 x 270 = 7290 m2

The area of the field is 7290 m2.



4)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 630 m. 
What is the length of the field

Answer: 504 m

What is the area of the field

Answer: 31752 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 630 ÷ 2 = 315 m

Step 2: Breadth of rectangle: 315 ÷ 5 = 63 m

Step 3: Length of rectangle: 63 x 4 = 504 m

The length of the field is 504 m.

Step 4: Area of rectangle: 63 x 504 = 31752 m2

The area of the field is 31752 m2.



5)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 114 m. 
What is the length of the field

Answer: 76 m

What is the area of the field

Answer: 1444 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 114 ÷ 2 = 57 m

Step 2: Breadth of rectangle: 57 ÷ 3 = 19 m

Step 3: Length of rectangle: 19 x 2 = 76 m

The length of the field is 76 m.

Step 4: Area of rectangle: 19 x 76 = 1444 m2

The area of the field is 1444 m2.



6)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 342 m. 
What is the length of the field

Answer: 228 m

What is the area of the field

Answer: 12996 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 342 ÷ 2 = 171 m

Step 2: Breadth of rectangle: 171 ÷ 3 = 57 m

Step 3: Length of rectangle: 57 x 2 = 228 m

The length of the field is 228 m.

Step 4: Area of rectangle: 57 x 228 = 12996 m2

The area of the field is 12996 m2.



7)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 924 m. 
What is the length of the field

Answer: 770 m

What is the area of the field

Answer: 59290 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 924 ÷ 2 = 462 m

Step 2: Breadth of rectangle: 462 ÷ 6 = 77 m

Step 3: Length of rectangle: 77 x 5 = 770 m

The length of the field is 770 m.

Step 4: Area of rectangle: 77 x 770 = 59290 m2

The area of the field is 59290 m2.



8)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 96 m. 
What is the length of the field

Answer: 64 m

What is the area of the field

Answer: 1024 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 96 ÷ 2 = 48 m

Step 2: Breadth of rectangle: 48 ÷ 3 = 16 m

Step 3: Length of rectangle: 16 x 2 = 64 m

The length of the field is 64 m.

Step 4: Area of rectangle: 16 x 64 = 1024 m2

The area of the field is 1024 m2.



9)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 648 m. 
What is the length of the field

Answer: 540 m

What is the area of the field

Answer: 29160 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 648 ÷ 2 = 324 m

Step 2: Breadth of rectangle: 324 ÷ 6 = 54 m

Step 3: Length of rectangle: 54 x 5 = 540 m

The length of the field is 540 m.

Step 4: Area of rectangle: 54 x 540 = 29160 m2

The area of the field is 29160 m2.



10)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 560 m. 
What is the length of the field

Answer: 420 m

What is the area of the field

Answer: 29400 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 560 ÷ 2 = 280 m

Step 2: Breadth of rectangle: 280 ÷ 4 = 70 m

Step 3: Length of rectangle: 70 x 3 = 420 m

The length of the field is 420 m.

Step 4: Area of rectangle: 70 x 420 = 29400 m2

The area of the field is 29400 m2.