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: A

Explanation:

Answer 2

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`