Question

A rectangle 24m by 18m has both its length and width increased by 5%. What is the exact % increase in its area?

Answer 1

Answer:

10.25%.

Step-by-step explanation:

The increase of the lengths and width  is by a factor 1.05.  ( as the increase is 5%).

So the increase of the area is by a factor 1.05^2 = 1.1025.

So the percent increase in the area = 1.1025 - 1

= 0.1025

= 10.25%.