Question

A regular hexagon has an area of 64 square centimeters. Find the scale factor of this hexagon to a similar hexagon with an area of 121 square centimeters

Answer 1

Scale Factor

Given two shapes, the second shape with dimensions proportional to the first shape with a scale factor of k.

The area of the scaled shape will be equal to the factor k squared.

We are given the areas of two similar shapes:

A1 = 64 square cm

A2 = 121 square cm

The scale factor of the areas is k squared, so:

`k^2=(121)/(64)`

Taking square root:

`\begin{gathered} k=\sqrt{(121)/(64)} \\ k=(11)/(8) \end{gathered}`

Answer: Last choice 11/8