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 2 times the breadth of the field.
The perimeter of the field is 558 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 588 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 960 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 312 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 800 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 890 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 960 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 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:_______________




9)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 820 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 650 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 2 times the breadth of the field.
The perimeter of the field is 558 m. 
What is the length of the field

Answer: 372 m

What is the area of the field

Answer: 34596 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 558 ÷ 2 = 279 m

Step 2: Breadth of rectangle: 279 ÷ 3 = 93 m

Step 3: Length of rectangle: 93 x 2 = 372 m

The length of the field is 372 m.

Step 4: Area of rectangle: 93 x 372 = 34596 m2

The area of the field is 34596 m2.



2)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 588 m. 
What is the length of the field

Answer: 490 m

What is the area of the field

Answer: 24010 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 588 ÷ 2 = 294 m

Step 2: Breadth of rectangle: 294 ÷ 6 = 49 m

Step 3: Length of rectangle: 49 x 5 = 490 m

The length of the field is 490 m.

Step 4: Area of rectangle: 49 x 490 = 24010 m2

The area of the field is 24010 m2.



3)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 960 m. 
What is the length of the field

Answer: 800 m

What is the area of the field

Answer: 64000 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 960 ÷ 2 = 480 m

Step 2: Breadth of rectangle: 480 ÷ 6 = 80 m

Step 3: Length of rectangle: 80 x 5 = 800 m

The length of the field is 800 m.

Step 4: Area of rectangle: 80 x 800 = 64000 m2

The area of the field is 64000 m2.



4)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 312 m. 
What is the length of the field

Answer: 234 m

What is the area of the field

Answer: 9126 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 312 ÷ 2 = 156 m

Step 2: Breadth of rectangle: 156 ÷ 4 = 39 m

Step 3: Length of rectangle: 39 x 3 = 234 m

The length of the field is 234 m.

Step 4: Area of rectangle: 39 x 234 = 9126 m2

The area of the field is 9126 m2.



5)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 800 m. 
What is the length of the field

Answer: 600 m

What is the area of the field

Answer: 60000 m2


SOLUTION 1 :

L : B
3 : 1

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

Step 2: Breadth of rectangle: 400 ÷ 4 = 100 m

Step 3: Length of rectangle: 100 x 3 = 600 m

The length of the field is 600 m.

Step 4: Area of rectangle: 100 x 600 = 60000 m2

The area of the field is 60000 m2.



6)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 890 m. 
What is the length of the field

Answer: 712 m

What is the area of the field

Answer: 63368 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 890 ÷ 2 = 445 m

Step 2: Breadth of rectangle: 445 ÷ 5 = 89 m

Step 3: Length of rectangle: 89 x 4 = 712 m

The length of the field is 712 m.

Step 4: Area of rectangle: 89 x 712 = 63368 m2

The area of the field is 63368 m2.



7)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 960 m. 
What is the length of the field

Answer: 768 m

What is the area of the field

Answer: 73728 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 960 ÷ 2 = 480 m

Step 2: Breadth of rectangle: 480 ÷ 5 = 96 m

Step 3: Length of rectangle: 96 x 4 = 768 m

The length of the field is 768 m.

Step 4: Area of rectangle: 96 x 768 = 73728 m2

The area of the field is 73728 m2.



8)  

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.



9)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 820 m. 
What is the length of the field

Answer: 656 m

What is the area of the field

Answer: 53792 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 820 ÷ 2 = 410 m

Step 2: Breadth of rectangle: 410 ÷ 5 = 82 m

Step 3: Length of rectangle: 82 x 4 = 656 m

The length of the field is 656 m.

Step 4: Area of rectangle: 82 x 656 = 53792 m2

The area of the field is 53792 m2.



10)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 650 m. 
What is the length of the field

Answer: 520 m

What is the area of the field

Answer: 33800 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 650 ÷ 2 = 325 m

Step 2: Breadth of rectangle: 325 ÷ 5 = 65 m

Step 3: Length of rectangle: 65 x 4 = 520 m

The length of the field is 520 m.

Step 4: Area of rectangle: 65 x 520 = 33800 m2

The area of the field is 33800 m2.