Question

Use the given area to find scale factor of shaded figure. the solve for x.

Answer 1

To find the scale factor of the shaded figure, find the ratio of the shaded area to the bigger area and then, find the square root of this ratio.

`(50)/(72)=(25)/(36)`
`\sqrt[]{(25)/(36)}=(5)/(6)`

The scale factor is 5/6.

Using this scale factor, find the value of x.

`\begin{gathered} (x)/(8)=(5)/(6) \\ x=(5)/(6)\cdot8 \\ x=6.67 \end{gathered}`

x has a value of 6.67.