Question

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?

Answer 1

Answer:

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

Step-by-step explanation:

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

The relation between area and scale factor is.

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

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

So, reduced area of pentagon would be

$=120\times(0.5)^2\\=120\times0.25\\=30\ inch^2$

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