Question

These figures are similar. Thearea of one is given. Find thearea of the other.area=32 in?9 in12 in[ ? Jina

Answer 1

To find the area of similar figures whe you know the area of one of the figures and the length of corresponding sides:

1. Find the scale factor: in this case as you have the area of the largest figure find the scale factor for a reduction:

`SF=\frac{small}{\text{big}}=(9)/(12)=(3)/(4)`

2. Find the missing area: the area in similar figures is equal to the scale factor squared multiplied by the given area.

`\begin{gathered} A=((3)/(4))^2\cdot32in^2 \\ \\ A=((9)/(16))\cdot32in^2 \\ \\ A=(288)/(16)in^2 \\ \\ A=18in^2 \end{gathered}`Then, the missing area is 18 square inches