Question

the width of a rectangular patio is increased by 10 % 10%. its length is increased by 20 % 20%. by what percentage has its area increased?

Answer 1

Answer: 32%

Explanation:

Let's set the original dimensions of the rectangular patio as:

• width = w
• length = l

That'll set the original area(a) of the patio as a = w · l.

The new dimensions of the patio can be calculated as:

• width = w + 0.1w = 1.1w
• length = l + 0.2l = 1.2l

The new area can then be calculated as 1.1w · 1.2l = 1.32 · w · l = 1.32a

Using the two areas, the percent increase can be calculated as:

`(1.32a-a)/(a)*100 =(1.32-1)/(1)*100 =0.32*100=32`