Scroll:Measurement >> Perimeter >> 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 568 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 1116 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 720 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 192 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 492 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 324 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 340 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 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:_______________




9)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 216 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 4 times the breadth of the field.
The perimeter of the field is 140 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 568 m. 
What is the length of the field

Answer: 426 m

What is the area of the field

Answer: 30246 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 568 ÷ 2 = 284 m

Step 2: Breadth of rectangle: 284 ÷ 4 = 71 m

Step 3: Length of rectangle: 71 x 3 = 426 m

The length of the field is 426 m.

Step 4: Area of rectangle: 71 x 426 = 30246 m2

The area of the field is 30246 m2.



2)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 1116 m. 
What is the length of the field

Answer: 930 m

What is the area of the field

Answer: 86490 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 1116 ÷ 2 = 558 m

Step 2: Breadth of rectangle: 558 ÷ 6 = 93 m

Step 3: Length of rectangle: 93 x 5 = 930 m

The length of the field is 930 m.

Step 4: Area of rectangle: 93 x 930 = 86490 m2

The area of the field is 86490 m2.



3)  

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.



4)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 192 m. 
What is the length of the field

Answer: 144 m

What is the area of the field

Answer: 3456 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 192 ÷ 2 = 96 m

Step 2: Breadth of rectangle: 96 ÷ 4 = 24 m

Step 3: Length of rectangle: 24 x 3 = 144 m

The length of the field is 144 m.

Step 4: Area of rectangle: 24 x 144 = 3456 m2

The area of the field is 3456 m2.



5)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 492 m. 
What is the length of the field

Answer: 410 m

What is the area of the field

Answer: 16810 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 492 ÷ 2 = 246 m

Step 2: Breadth of rectangle: 246 ÷ 6 = 41 m

Step 3: Length of rectangle: 41 x 5 = 410 m

The length of the field is 410 m.

Step 4: Area of rectangle: 41 x 410 = 16810 m2

The area of the field is 16810 m2.



6)  

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.



7)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 340 m. 
What is the length of the field

Answer: 272 m

What is the area of the field

Answer: 9248 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 340 ÷ 2 = 170 m

Step 2: Breadth of rectangle: 170 ÷ 5 = 34 m

Step 3: Length of rectangle: 34 x 4 = 272 m

The length of the field is 272 m.

Step 4: Area of rectangle: 34 x 272 = 9248 m2

The area of the field is 9248 m2.



8)  

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.



9)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 216 m. 
What is the length of the field

Answer: 162 m

What is the area of the field

Answer: 4374 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 216 ÷ 2 = 108 m

Step 2: Breadth of rectangle: 108 ÷ 4 = 27 m

Step 3: Length of rectangle: 27 x 3 = 162 m

The length of the field is 162 m.

Step 4: Area of rectangle: 27 x 162 = 4374 m2

The area of the field is 4374 m2.



10)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 140 m. 
What is the length of the field

Answer: 112 m

What is the area of the field

Answer: 1568 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 140 ÷ 2 = 70 m

Step 2: Breadth of rectangle: 70 ÷ 5 = 14 m

Step 3: Length of rectangle: 14 x 4 = 112 m

The length of the field is 112 m.

Step 4: Area of rectangle: 14 x 112 = 1568 m2

The area of the field is 1568 m2.