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 290 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 4 times the breadth of the field.
The perimeter of the field is 150 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 208 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 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 350 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 336 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 496 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 558 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 2 times the breadth of the field.
The perimeter of the field is 564 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 270 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 290 m. 
What is the length of the field

Answer: 232 m

What is the area of the field

Answer: 6728 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 290 ÷ 2 = 145 m

Step 2: Breadth of rectangle: 145 ÷ 5 = 29 m

Step 3: Length of rectangle: 29 x 4 = 232 m

The length of the field is 232 m.

Step 4: Area of rectangle: 29 x 232 = 6728 m2

The area of the field is 6728 m2.



2)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 150 m. 
What is the length of the field

Answer: 120 m

What is the area of the field

Answer: 1800 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 150 ÷ 2 = 75 m

Step 2: Breadth of rectangle: 75 ÷ 5 = 15 m

Step 3: Length of rectangle: 15 x 4 = 120 m

The length of the field is 120 m.

Step 4: Area of rectangle: 15 x 120 = 1800 m2

The area of the field is 1800 m2.



3)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 208 m. 
What is the length of the field

Answer: 156 m

What is the area of the field

Answer: 4056 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 208 ÷ 2 = 104 m

Step 2: Breadth of rectangle: 104 ÷ 4 = 26 m

Step 3: Length of rectangle: 26 x 3 = 156 m

The length of the field is 156 m.

Step 4: Area of rectangle: 26 x 156 = 4056 m2

The area of the field is 4056 m2.



4)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 372 m. 
What is the length of the field

Answer: 310 m

What is the area of the field

Answer: 9610 m2


SOLUTION 1 :

L : B
5 : 1

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

Step 2: Breadth of rectangle: 186 ÷ 6 = 31 m

Step 3: Length of rectangle: 31 x 5 = 310 m

The length of the field is 310 m.

Step 4: Area of rectangle: 31 x 310 = 9610 m2

The area of the field is 9610 m2.



5)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 350 m. 
What is the length of the field

Answer: 280 m

What is the area of the field

Answer: 9800 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 350 ÷ 2 = 175 m

Step 2: Breadth of rectangle: 175 ÷ 5 = 35 m

Step 3: Length of rectangle: 35 x 4 = 280 m

The length of the field is 280 m.

Step 4: Area of rectangle: 35 x 280 = 9800 m2

The area of the field is 9800 m2.



6)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 336 m. 
What is the length of the field

Answer: 280 m

What is the area of the field

Answer: 7840 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 336 ÷ 2 = 168 m

Step 2: Breadth of rectangle: 168 ÷ 6 = 28 m

Step 3: Length of rectangle: 28 x 5 = 280 m

The length of the field is 280 m.

Step 4: Area of rectangle: 28 x 280 = 7840 m2

The area of the field is 7840 m2.



7)  

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.



8)  

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.



9)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 564 m. 
What is the length of the field

Answer: 376 m

What is the area of the field

Answer: 35344 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 564 ÷ 2 = 282 m

Step 2: Breadth of rectangle: 282 ÷ 3 = 94 m

Step 3: Length of rectangle: 94 x 2 = 376 m

The length of the field is 376 m.

Step 4: Area of rectangle: 94 x 376 = 35344 m2

The area of the field is 35344 m2.



10)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 270 m. 
What is the length of the field

Answer: 216 m

What is the area of the field

Answer: 5832 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 270 ÷ 2 = 135 m

Step 2: Breadth of rectangle: 135 ÷ 5 = 27 m

Step 3: Length of rectangle: 27 x 4 = 216 m

The length of the field is 216 m.

Step 4: Area of rectangle: 27 x 216 = 5832 m2

The area of the field is 5832 m2.