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 720 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 480 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 1020 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 138 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 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 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:_______________




7)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 790 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 940 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 468 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 576 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 720 m. 
What is the length of the field

Answer: 576 m

What is the area of the field

Answer: 41472 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 720 ÷ 2 = 360 m

Step 2: Breadth of rectangle: 360 ÷ 5 = 72 m

Step 3: Length of rectangle: 72 x 4 = 576 m

The length of the field is 576 m.

Step 4: Area of rectangle: 72 x 576 = 41472 m2

The area of the field is 41472 m2.



2)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 480 m. 
What is the length of the field

Answer: 400 m

What is the area of the field

Answer: 16000 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 480 ÷ 2 = 240 m

Step 2: Breadth of rectangle: 240 ÷ 6 = 40 m

Step 3: Length of rectangle: 40 x 5 = 400 m

The length of the field is 400 m.

Step 4: Area of rectangle: 40 x 400 = 16000 m2

The area of the field is 16000 m2.



3)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 1020 m. 
What is the length of the field

Answer: 850 m

What is the area of the field

Answer: 72250 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 1020 ÷ 2 = 510 m

Step 2: Breadth of rectangle: 510 ÷ 6 = 85 m

Step 3: Length of rectangle: 85 x 5 = 850 m

The length of the field is 850 m.

Step 4: Area of rectangle: 85 x 850 = 72250 m2

The area of the field is 72250 m2.



4)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 138 m. 
What is the length of the field

Answer: 92 m

What is the area of the field

Answer: 2116 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 138 ÷ 2 = 69 m

Step 2: Breadth of rectangle: 69 ÷ 3 = 23 m

Step 3: Length of rectangle: 23 x 2 = 92 m

The length of the field is 92 m.

Step 4: Area of rectangle: 23 x 92 = 2116 m2

The area of the field is 2116 m2.



5)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 360 m. 
What is the length of the field

Answer: 240 m

What is the area of the field

Answer: 14400 m2


SOLUTION 1 :

L : B
2 : 1

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

Step 2: Breadth of rectangle: 180 ÷ 3 = 60 m

Step 3: Length of rectangle: 60 x 2 = 240 m

The length of the field is 240 m.

Step 4: Area of rectangle: 60 x 240 = 14400 m2

The area of the field is 14400 m2.



6)  

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.



7)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 790 m. 
What is the length of the field

Answer: 632 m

What is the area of the field

Answer: 49928 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 790 ÷ 2 = 395 m

Step 2: Breadth of rectangle: 395 ÷ 5 = 79 m

Step 3: Length of rectangle: 79 x 4 = 632 m

The length of the field is 632 m.

Step 4: Area of rectangle: 79 x 632 = 49928 m2

The area of the field is 49928 m2.



8)  

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.



9)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 468 m. 
What is the length of the field

Answer: 390 m

What is the area of the field

Answer: 15210 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 468 ÷ 2 = 234 m

Step 2: Breadth of rectangle: 234 ÷ 6 = 39 m

Step 3: Length of rectangle: 39 x 5 = 390 m

The length of the field is 390 m.

Step 4: Area of rectangle: 39 x 390 = 15210 m2

The area of the field is 15210 m2.



10)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 576 m. 
What is the length of the field

Answer: 384 m

What is the area of the field

Answer: 36864 m2


SOLUTION 1 :

L : B
2 : 1

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

Step 2: Breadth of rectangle: 288 ÷ 3 = 96 m

Step 3: Length of rectangle: 96 x 2 = 384 m

The length of the field is 384 m.

Step 4: Area of rectangle: 96 x 384 = 36864 m2

The area of the field is 36864 m2.