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 414 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 496 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 3 times the breadth of the field.
The perimeter of the field is 296 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 2 times the breadth of the field.
The perimeter of the field is 372 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 4 times the breadth of the field.
The perimeter of the field is 400 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 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:_______________




7)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 432 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 396 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 430 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 328 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 414 m. 
What is the length of the field

Answer: 276 m

What is the area of the field

Answer: 19044 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 414 ÷ 2 = 207 m

Step 2: Breadth of rectangle: 207 ÷ 3 = 69 m

Step 3: Length of rectangle: 69 x 2 = 276 m

The length of the field is 276 m.

Step 4: Area of rectangle: 69 x 276 = 19044 m2

The area of the field is 19044 m2.



2)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 496 m. 
What is the length of the field

Answer: 372 m

What is the area of the field

Answer: 23064 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 496 ÷ 2 = 248 m

Step 2: Breadth of rectangle: 248 ÷ 4 = 62 m

Step 3: Length of rectangle: 62 x 3 = 372 m

The length of the field is 372 m.

Step 4: Area of rectangle: 62 x 372 = 23064 m2

The area of the field is 23064 m2.



3)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 296 m. 
What is the length of the field

Answer: 222 m

What is the area of the field

Answer: 8214 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 296 ÷ 2 = 148 m

Step 2: Breadth of rectangle: 148 ÷ 4 = 37 m

Step 3: Length of rectangle: 37 x 3 = 222 m

The length of the field is 222 m.

Step 4: Area of rectangle: 37 x 222 = 8214 m2

The area of the field is 8214 m2.



4)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 372 m. 
What is the length of the field

Answer: 248 m

What is the area of the field

Answer: 15376 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 372 ÷ 2 = 186 m

Step 2: Breadth of rectangle: 186 ÷ 3 = 62 m

Step 3: Length of rectangle: 62 x 2 = 248 m

The length of the field is 248 m.

Step 4: Area of rectangle: 62 x 248 = 15376 m2

The area of the field is 15376 m2.



5)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 400 m. 
What is the length of the field

Answer: 320 m

What is the area of the field

Answer: 12800 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 400 ÷ 2 = 200 m

Step 2: Breadth of rectangle: 200 ÷ 5 = 40 m

Step 3: Length of rectangle: 40 x 4 = 320 m

The length of the field is 320 m.

Step 4: Area of rectangle: 40 x 320 = 12800 m2

The area of the field is 12800 m2.



6)  

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.



7)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 432 m. 
What is the length of the field

Answer: 324 m

What is the area of the field

Answer: 17496 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 432 ÷ 2 = 216 m

Step 2: Breadth of rectangle: 216 ÷ 4 = 54 m

Step 3: Length of rectangle: 54 x 3 = 324 m

The length of the field is 324 m.

Step 4: Area of rectangle: 54 x 324 = 17496 m2

The area of the field is 17496 m2.



8)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 396 m. 
What is the length of the field

Answer: 330 m

What is the area of the field

Answer: 10890 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 396 ÷ 2 = 198 m

Step 2: Breadth of rectangle: 198 ÷ 6 = 33 m

Step 3: Length of rectangle: 33 x 5 = 330 m

The length of the field is 330 m.

Step 4: Area of rectangle: 33 x 330 = 10890 m2

The area of the field is 10890 m2.



9)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 430 m. 
What is the length of the field

Answer: 344 m

What is the area of the field

Answer: 14792 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 430 ÷ 2 = 215 m

Step 2: Breadth of rectangle: 215 ÷ 5 = 43 m

Step 3: Length of rectangle: 43 x 4 = 344 m

The length of the field is 344 m.

Step 4: Area of rectangle: 43 x 344 = 14792 m2

The area of the field is 14792 m2.



10)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 328 m. 
What is the length of the field

Answer: 246 m

What is the area of the field

Answer: 10086 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 328 ÷ 2 = 164 m

Step 2: Breadth of rectangle: 164 ÷ 4 = 41 m

Step 3: Length of rectangle: 41 x 3 = 246 m

The length of the field is 246 m.

Step 4: Area of rectangle: 41 x 246 = 10086 m2

The area of the field is 10086 m2.