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 3 times the breadth of the field.
The perimeter of the field is 120 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 3 times the breadth of the field.
The perimeter of the field is 448 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 4 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:_______________




4)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 632 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 464 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 5 times the breadth of the field.
The perimeter of the field is 708 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 534 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 816 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 5 times the breadth of the field.
The perimeter of the field is 132 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 3 times the breadth of the field.
The perimeter of the field is 120 m. 
What is the length of the field

Answer: 90 m

What is the area of the field

Answer: 1350 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 120 ÷ 2 = 60 m

Step 2: Breadth of rectangle: 60 ÷ 4 = 15 m

Step 3: Length of rectangle: 15 x 3 = 90 m

The length of the field is 90 m.

Step 4: Area of rectangle: 15 x 90 = 1350 m2

The area of the field is 1350 m2.



2)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 448 m. 
What is the length of the field

Answer: 336 m

What is the area of the field

Answer: 18816 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 448 ÷ 2 = 224 m

Step 2: Breadth of rectangle: 224 ÷ 4 = 56 m

Step 3: Length of rectangle: 56 x 3 = 336 m

The length of the field is 336 m.

Step 4: Area of rectangle: 56 x 336 = 18816 m2

The area of the field is 18816 m2.



3)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 360 m. 
What is the length of the field

Answer: 288 m

What is the area of the field

Answer: 10368 m2


SOLUTION 1 :

L : B
4 : 1

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

Step 2: Breadth of rectangle: 180 ÷ 5 = 36 m

Step 3: Length of rectangle: 36 x 4 = 288 m

The length of the field is 288 m.

Step 4: Area of rectangle: 36 x 288 = 10368 m2

The area of the field is 10368 m2.



4)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 632 m. 
What is the length of the field

Answer: 474 m

What is the area of the field

Answer: 37446 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 632 ÷ 2 = 316 m

Step 2: Breadth of rectangle: 316 ÷ 4 = 79 m

Step 3: Length of rectangle: 79 x 3 = 474 m

The length of the field is 474 m.

Step 4: Area of rectangle: 79 x 474 = 37446 m2

The area of the field is 37446 m2.



5)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 464 m. 
What is the length of the field

Answer: 348 m

What is the area of the field

Answer: 20184 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 464 ÷ 2 = 232 m

Step 2: Breadth of rectangle: 232 ÷ 4 = 58 m

Step 3: Length of rectangle: 58 x 3 = 348 m

The length of the field is 348 m.

Step 4: Area of rectangle: 58 x 348 = 20184 m2

The area of the field is 20184 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 5 times the breadth of the field.
The perimeter of the field is 708 m. 
What is the length of the field

Answer: 590 m

What is the area of the field

Answer: 34810 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 708 ÷ 2 = 354 m

Step 2: Breadth of rectangle: 354 ÷ 6 = 59 m

Step 3: Length of rectangle: 59 x 5 = 590 m

The length of the field is 590 m.

Step 4: Area of rectangle: 59 x 590 = 34810 m2

The area of the field is 34810 m2.



8)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 534 m. 
What is the length of the field

Answer: 356 m

What is the area of the field

Answer: 31684 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 534 ÷ 2 = 267 m

Step 2: Breadth of rectangle: 267 ÷ 3 = 89 m

Step 3: Length of rectangle: 89 x 2 = 356 m

The length of the field is 356 m.

Step 4: Area of rectangle: 89 x 356 = 31684 m2

The area of the field is 31684 m2.



9)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 816 m. 
What is the length of the field

Answer: 680 m

What is the area of the field

Answer: 46240 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 816 ÷ 2 = 408 m

Step 2: Breadth of rectangle: 408 ÷ 6 = 68 m

Step 3: Length of rectangle: 68 x 5 = 680 m

The length of the field is 680 m.

Step 4: Area of rectangle: 68 x 680 = 46240 m2

The area of the field is 46240 m2.



10)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 132 m. 
What is the length of the field

Answer: 110 m

What is the area of the field

Answer: 1210 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 132 ÷ 2 = 66 m

Step 2: Breadth of rectangle: 66 ÷ 6 = 11 m

Step 3: Length of rectangle: 11 x 5 = 110 m

The length of the field is 110 m.

Step 4: Area of rectangle: 11 x 110 = 1210 m2

The area of the field is 1210 m2.