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 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:_______________




2)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 306 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 660 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 5 times the breadth of the field.
The perimeter of the field is 804 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 256 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 186 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 624 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 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 300 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 520 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 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.



2)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 306 m. 
What is the length of the field

Answer: 204 m

What is the area of the field

Answer: 10404 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 306 ÷ 2 = 153 m

Step 2: Breadth of rectangle: 153 ÷ 3 = 51 m

Step 3: Length of rectangle: 51 x 2 = 204 m

The length of the field is 204 m.

Step 4: Area of rectangle: 51 x 204 = 10404 m2

The area of the field is 10404 m2.



3)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 660 m. 
What is the length of the field

Answer: 528 m

What is the area of the field

Answer: 34848 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 660 ÷ 2 = 330 m

Step 2: Breadth of rectangle: 330 ÷ 5 = 66 m

Step 3: Length of rectangle: 66 x 4 = 528 m

The length of the field is 528 m.

Step 4: Area of rectangle: 66 x 528 = 34848 m2

The area of the field is 34848 m2.



4)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 804 m. 
What is the length of the field

Answer: 670 m

What is the area of the field

Answer: 44890 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 804 ÷ 2 = 402 m

Step 2: Breadth of rectangle: 402 ÷ 6 = 67 m

Step 3: Length of rectangle: 67 x 5 = 670 m

The length of the field is 670 m.

Step 4: Area of rectangle: 67 x 670 = 44890 m2

The area of the field is 44890 m2.



5)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 256 m. 
What is the length of the field

Answer: 192 m

What is the area of the field

Answer: 6144 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 256 ÷ 2 = 128 m

Step 2: Breadth of rectangle: 128 ÷ 4 = 32 m

Step 3: Length of rectangle: 32 x 3 = 192 m

The length of the field is 192 m.

Step 4: Area of rectangle: 32 x 192 = 6144 m2

The area of the field is 6144 m2.



6)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 186 m. 
What is the length of the field

Answer: 124 m

What is the area of the field

Answer: 3844 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 186 ÷ 2 = 93 m

Step 2: Breadth of rectangle: 93 ÷ 3 = 31 m

Step 3: Length of rectangle: 31 x 2 = 124 m

The length of the field is 124 m.

Step 4: Area of rectangle: 31 x 124 = 3844 m2

The area of the field is 3844 m2.



7)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 624 m. 
What is the length of the field

Answer: 520 m

What is the area of the field

Answer: 27040 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 624 ÷ 2 = 312 m

Step 2: Breadth of rectangle: 312 ÷ 6 = 52 m

Step 3: Length of rectangle: 52 x 5 = 520 m

The length of the field is 520 m.

Step 4: Area of rectangle: 52 x 520 = 27040 m2

The area of the field is 27040 m2.



8)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 444 m. 
What is the length of the field

Answer: 296 m

What is the area of the field

Answer: 21904 m2


SOLUTION 1 :

L : B
2 : 1

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

Step 2: Breadth of rectangle: 222 ÷ 3 = 74 m

Step 3: Length of rectangle: 74 x 2 = 296 m

The length of the field is 296 m.

Step 4: Area of rectangle: 74 x 296 = 21904 m2

The area of the field is 21904 m2.



9)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 300 m. 
What is the length of the field

Answer: 240 m

What is the area of the field

Answer: 7200 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 300 ÷ 2 = 150 m

Step 2: Breadth of rectangle: 150 ÷ 5 = 30 m

Step 3: Length of rectangle: 30 x 4 = 240 m

The length of the field is 240 m.

Step 4: Area of rectangle: 30 x 240 = 7200 m2

The area of the field is 7200 m2.



10)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 520 m. 
What is the length of the field

Answer: 390 m

What is the area of the field

Answer: 25350 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 520 ÷ 2 = 260 m

Step 2: Breadth of rectangle: 260 ÷ 4 = 65 m

Step 3: Length of rectangle: 65 x 3 = 390 m

The length of the field is 390 m.

Step 4: Area of rectangle: 65 x 390 = 25350 m2

The area of the field is 25350 m2.