Question

Here is a rectangle ABCD the length of the rectangle is increased by 10% The width of the rectangle is increased by 5% Find the percentage increase in the perimeter of the rectangle

Answer 1

increased by 8%

Explanation:

Answer 2

7.5 % increase

Explanation:

So,first we know that Square is also a special type of Rectangle,

so consider a Square with side 100 unit ,

Initially, After increament in side

Length = 100 unit -(increases by 10% ,So 110% of 100) NEW length = 110 unit

width = 100 unit (increases by 5% ,So 105% of 100) NEW width = 105

initially, Perimeter of Rectangle = 2 x (L + B) = 2 x (100 +100)

= 400 unit

After increment in length and width

Perimeter of New Rectangle = 2 x (L + B) = 2 x (110 +105)

= 430 unit

So we can clearly see that there is an increase of 30 unit in perimeter from initial.

Therefore ,% increase in perimeter will be

(final perimeter - initial perimeter)/initial perimeter x 100

= (430 - 400)/400 x 100

= 7.5 % increase