The pentagon below has been reduced by a scale of 0.5. A pentagon with an area of 120 inches squared. What is the area of the reduced pentagon?

Question

asked Mar 14, 2021 212k views

2 Answers

Ceiroa · Answer 1 · 2021-03-20T21:54:30+0000

Answer:

Area of the reduced pentagon is
$30\ inch^2$

Explanation:

Given scale factor is
0.5 . And area of pentagon is
$120\ inch^2$ .

The relation between area and scale factor is.

$New\ area=Old\ area* (Scale\ factor)^2$

Here, old area is given as
$120\ inch^2$ and scale factor is
0.5 .

So, reduced area of pentagon would be

$=120*(0.5)^2\\=120*0.25\\=30\ inch^2$

The area of the reduced pentagon is
$30\ inch^2$