Question

for each pair of similar figures use the given areas to find the scale factor from the unshaded figure, then find x.

Answer 1

• Scale factor, k=3

,

• x=7m

Step-by-step explanation:

Let the scale factor be = k

When a figure is enlarged by a scale factor, the area of the scaled image is equal to:

Area of the Original Image x Square of the Scale factor.

Therefore:

`\begin{gathered} \text{Area of shaded figure}=Area\text{ of unshaded figure}* k^2 \\ 4590=510* k^2 \\ k^2=(4590)/(510) \\ k^2=9 \\ k=3 \end{gathered}`

The scale factor = 3.

Since the scale factor = 3

`x=(21)/(3)=7m`