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 5 times the breadth of the field.
The perimeter of the field is 1092 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 1080 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 950 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 690 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 368 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 294 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 216 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 444 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 4 times the breadth of the field.
The perimeter of the field is 800 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 224 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 1092 m. 
What is the length of the field

Answer: 910 m

What is the area of the field

Answer: 82810 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 1092 ÷ 2 = 546 m

Step 2: Breadth of rectangle: 546 ÷ 6 = 91 m

Step 3: Length of rectangle: 91 x 5 = 910 m

The length of the field is 910 m.

Step 4: Area of rectangle: 91 x 910 = 82810 m2

The area of the field is 82810 m2.



2)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 1080 m. 
What is the length of the field

Answer: 900 m

What is the area of the field

Answer: 81000 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 1080 ÷ 2 = 540 m

Step 2: Breadth of rectangle: 540 ÷ 6 = 90 m

Step 3: Length of rectangle: 90 x 5 = 900 m

The length of the field is 900 m.

Step 4: Area of rectangle: 90 x 900 = 81000 m2

The area of the field is 81000 m2.



3)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 950 m. 
What is the length of the field

Answer: 760 m

What is the area of the field

Answer: 72200 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 950 ÷ 2 = 475 m

Step 2: Breadth of rectangle: 475 ÷ 5 = 95 m

Step 3: Length of rectangle: 95 x 4 = 760 m

The length of the field is 760 m.

Step 4: Area of rectangle: 95 x 760 = 72200 m2

The area of the field is 72200 m2.



4)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 690 m. 
What is the length of the field

Answer: 552 m

What is the area of the field

Answer: 38088 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 690 ÷ 2 = 345 m

Step 2: Breadth of rectangle: 345 ÷ 5 = 69 m

Step 3: Length of rectangle: 69 x 4 = 552 m

The length of the field is 552 m.

Step 4: Area of rectangle: 69 x 552 = 38088 m2

The area of the field is 38088 m2.



5)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 368 m. 
What is the length of the field

Answer: 276 m

What is the area of the field

Answer: 12696 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 368 ÷ 2 = 184 m

Step 2: Breadth of rectangle: 184 ÷ 4 = 46 m

Step 3: Length of rectangle: 46 x 3 = 276 m

The length of the field is 276 m.

Step 4: Area of rectangle: 46 x 276 = 12696 m2

The area of the field is 12696 m2.



6)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 294 m. 
What is the length of the field

Answer: 196 m

What is the area of the field

Answer: 9604 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 294 ÷ 2 = 147 m

Step 2: Breadth of rectangle: 147 ÷ 3 = 49 m

Step 3: Length of rectangle: 49 x 2 = 196 m

The length of the field is 196 m.

Step 4: Area of rectangle: 49 x 196 = 9604 m2

The area of the field is 9604 m2.



7)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 216 m. 
What is the length of the field

Answer: 144 m

What is the area of the field

Answer: 5184 m2


SOLUTION 1 :

L : B
2 : 1

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

Step 2: Breadth of rectangle: 108 ÷ 3 = 36 m

Step 3: Length of rectangle: 36 x 2 = 144 m

The length of the field is 144 m.

Step 4: Area of rectangle: 36 x 144 = 5184 m2

The area of the field is 5184 m2.



8)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 444 m. 
What is the length of the field

Answer: 370 m

What is the area of the field

Answer: 13690 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 444 ÷ 2 = 222 m

Step 2: Breadth of rectangle: 222 ÷ 6 = 37 m

Step 3: Length of rectangle: 37 x 5 = 370 m

The length of the field is 370 m.

Step 4: Area of rectangle: 37 x 370 = 13690 m2

The area of the field is 13690 m2.



9)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 800 m. 
What is the length of the field

Answer: 640 m

What is the area of the field

Answer: 51200 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 800 ÷ 2 = 400 m

Step 2: Breadth of rectangle: 400 ÷ 5 = 80 m

Step 3: Length of rectangle: 80 x 4 = 640 m

The length of the field is 640 m.

Step 4: Area of rectangle: 80 x 640 = 51200 m2

The area of the field is 51200 m2.



10)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 224 m. 
What is the length of the field

Answer: 168 m

What is the area of the field

Answer: 4704 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 224 ÷ 2 = 112 m

Step 2: Breadth of rectangle: 112 ÷ 4 = 28 m

Step 3: Length of rectangle: 28 x 3 = 168 m

The length of the field is 168 m.

Step 4: Area of rectangle: 28 x 168 = 4704 m2

The area of the field is 4704 m2.