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length of a rectangle is 8m less than twice its breadth.if the perimeter of the rectangle 56m, find its length and breadth


S.lakshmi 11th Mar, 2022
Answers (2)
Aditya 11th Mar, 2022

Hi aspirant,

This is a very simple question which can be solved by applying basic fundamental of mathematics. Let the breadth of rectangle be b meters so according to the question the length would be 2b-8. Now the perimeter of of rectangle is given and as we know the formula of of perimeter is 2(l+b).

Therefore 2(b+2b-8)=56

6b-16= 56

6b= 72

b= 12

Show the breadth of rectangle is 12 m and length would be 16 meters.

Hope it helps!

ayanmukherjee045 11th Mar, 2022

Dear student,

Given perimeter = 56m

First you need to read the problem and form equations accordingly.

So let breadth be x then length will be according to question 2x-8.

Formula for the perimeter of rectangle = 2(l+b)

=2(2x-8+x) which is equal to 56.

Then 6x-16=56

= 6x=72

Value of x will be 12.


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