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 888 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 840 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 608 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 670 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 744 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 720 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 2 times the breadth of the field.
The perimeter of the field is 276 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 170 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 3 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:_______________




10)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 552 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 888 m. 
What is the length of the field

Answer: 740 m

What is the area of the field

Answer: 54760 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 888 ÷ 2 = 444 m

Step 2: Breadth of rectangle: 444 ÷ 6 = 74 m

Step 3: Length of rectangle: 74 x 5 = 740 m

The length of the field is 740 m.

Step 4: Area of rectangle: 74 x 740 = 54760 m2

The area of the field is 54760 m2.



2)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 840 m. 
What is the length of the field

Answer: 672 m

What is the area of the field

Answer: 56448 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 840 ÷ 2 = 420 m

Step 2: Breadth of rectangle: 420 ÷ 5 = 84 m

Step 3: Length of rectangle: 84 x 4 = 672 m

The length of the field is 672 m.

Step 4: Area of rectangle: 84 x 672 = 56448 m2

The area of the field is 56448 m2.



3)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 608 m. 
What is the length of the field

Answer: 456 m

What is the area of the field

Answer: 34656 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 608 ÷ 2 = 304 m

Step 2: Breadth of rectangle: 304 ÷ 4 = 76 m

Step 3: Length of rectangle: 76 x 3 = 456 m

The length of the field is 456 m.

Step 4: Area of rectangle: 76 x 456 = 34656 m2

The area of the field is 34656 m2.



4)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 670 m. 
What is the length of the field

Answer: 536 m

What is the area of the field

Answer: 35912 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 670 ÷ 2 = 335 m

Step 2: Breadth of rectangle: 335 ÷ 5 = 67 m

Step 3: Length of rectangle: 67 x 4 = 536 m

The length of the field is 536 m.

Step 4: Area of rectangle: 67 x 536 = 35912 m2

The area of the field is 35912 m2.



5)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 744 m. 
What is the length of the field

Answer: 620 m

What is the area of the field

Answer: 38440 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 744 ÷ 2 = 372 m

Step 2: Breadth of rectangle: 372 ÷ 6 = 62 m

Step 3: Length of rectangle: 62 x 5 = 620 m

The length of the field is 620 m.

Step 4: Area of rectangle: 62 x 620 = 38440 m2

The area of the field is 38440 m2.



6)  

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.



7)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 276 m. 
What is the length of the field

Answer: 184 m

What is the area of the field

Answer: 8464 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 276 ÷ 2 = 138 m

Step 2: Breadth of rectangle: 138 ÷ 3 = 46 m

Step 3: Length of rectangle: 46 x 2 = 184 m

The length of the field is 184 m.

Step 4: Area of rectangle: 46 x 184 = 8464 m2

The area of the field is 8464 m2.



8)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 170 m. 
What is the length of the field

Answer: 136 m

What is the area of the field

Answer: 2312 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 170 ÷ 2 = 85 m

Step 2: Breadth of rectangle: 85 ÷ 5 = 17 m

Step 3: Length of rectangle: 17 x 4 = 136 m

The length of the field is 136 m.

Step 4: Area of rectangle: 17 x 136 = 2312 m2

The area of the field is 2312 m2.



9)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 168 m. 
What is the length of the field

Answer: 126 m

What is the area of the field

Answer: 2646 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 168 ÷ 2 = 84 m

Step 2: Breadth of rectangle: 84 ÷ 4 = 21 m

Step 3: Length of rectangle: 21 x 3 = 126 m

The length of the field is 126 m.

Step 4: Area of rectangle: 21 x 126 = 2646 m2

The area of the field is 2646 m2.



10)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 552 m. 
What is the length of the field

Answer: 414 m

What is the area of the field

Answer: 28566 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 552 ÷ 2 = 276 m

Step 2: Breadth of rectangle: 276 ÷ 4 = 69 m

Step 3: Length of rectangle: 69 x 3 = 414 m

The length of the field is 414 m.

Step 4: Area of rectangle: 69 x 414 = 28566 m2

The area of the field is 28566 m2.