Scroll:Measurement >> Area >> 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 456 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 910 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 312 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 504 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 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:_______________




6)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 324 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 120 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 468 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 5 times the breadth of the field.
The perimeter of the field is 192 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 760 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 456 m. 
What is the length of the field

Answer: 304 m

What is the area of the field

Answer: 23104 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 456 ÷ 2 = 228 m

Step 2: Breadth of rectangle: 228 ÷ 3 = 76 m

Step 3: Length of rectangle: 76 x 2 = 304 m

The length of the field is 304 m.

Step 4: Area of rectangle: 76 x 304 = 23104 m2

The area of the field is 23104 m2.



2)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 910 m. 
What is the length of the field

Answer: 728 m

What is the area of the field

Answer: 66248 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 910 ÷ 2 = 455 m

Step 2: Breadth of rectangle: 455 ÷ 5 = 91 m

Step 3: Length of rectangle: 91 x 4 = 728 m

The length of the field is 728 m.

Step 4: Area of rectangle: 91 x 728 = 66248 m2

The area of the field is 66248 m2.



3)  

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.



4)  

The length of a rectangular field is 3 times the breadth of the field.
The perimeter of the field is 504 m. 
What is the length of the field

Answer: 378 m

What is the area of the field

Answer: 23814 m2


SOLUTION 1 :

L : B
3 : 1

Step 1: Sum of length and breadth of rectangle: 504 ÷ 2 = 252 m

Step 2: Breadth of rectangle: 252 ÷ 4 = 63 m

Step 3: Length of rectangle: 63 x 3 = 378 m

The length of the field is 378 m.

Step 4: Area of rectangle: 63 x 378 = 23814 m2

The area of the field is 23814 m2.



5)  

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.



6)  

The length of a rectangular field is 2 times the breadth of the field.
The perimeter of the field is 324 m. 
What is the length of the field

Answer: 216 m

What is the area of the field

Answer: 11664 m2


SOLUTION 1 :

L : B
2 : 1

Step 1: Sum of length and breadth of rectangle: 324 ÷ 2 = 162 m

Step 2: Breadth of rectangle: 162 ÷ 3 = 54 m

Step 3: Length of rectangle: 54 x 2 = 216 m

The length of the field is 216 m.

Step 4: Area of rectangle: 54 x 216 = 11664 m2

The area of the field is 11664 m2.



7)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 120 m. 
What is the length of the field

Answer: 100 m

What is the area of the field

Answer: 1000 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 120 ÷ 2 = 60 m

Step 2: Breadth of rectangle: 60 ÷ 6 = 10 m

Step 3: Length of rectangle: 10 x 5 = 100 m

The length of the field is 100 m.

Step 4: Area of rectangle: 10 x 100 = 1000 m2

The area of the field is 1000 m2.



8)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 468 m. 
What is the length of the field

Answer: 390 m

What is the area of the field

Answer: 15210 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 468 ÷ 2 = 234 m

Step 2: Breadth of rectangle: 234 ÷ 6 = 39 m

Step 3: Length of rectangle: 39 x 5 = 390 m

The length of the field is 390 m.

Step 4: Area of rectangle: 39 x 390 = 15210 m2

The area of the field is 15210 m2.



9)  

The length of a rectangular field is 5 times the breadth of the field.
The perimeter of the field is 192 m. 
What is the length of the field

Answer: 160 m

What is the area of the field

Answer: 2560 m2


SOLUTION 1 :

L : B
5 : 1

Step 1: Sum of length and breadth of rectangle: 192 ÷ 2 = 96 m

Step 2: Breadth of rectangle: 96 ÷ 6 = 16 m

Step 3: Length of rectangle: 16 x 5 = 160 m

The length of the field is 160 m.

Step 4: Area of rectangle: 16 x 160 = 2560 m2

The area of the field is 2560 m2.



10)  

The length of a rectangular field is 4 times the breadth of the field.
The perimeter of the field is 760 m. 
What is the length of the field

Answer: 608 m

What is the area of the field

Answer: 46208 m2


SOLUTION 1 :

L : B
4 : 1

Step 1: Sum of length and breadth of rectangle: 760 ÷ 2 = 380 m

Step 2: Breadth of rectangle: 380 ÷ 5 = 76 m

Step 3: Length of rectangle: 76 x 4 = 608 m

The length of the field is 608 m.

Step 4: Area of rectangle: 76 x 608 = 46208 m2

The area of the field is 46208 m2.