These figures are similar. the perimeter and area of one are given. the perimeter of the other is also given. find its area and round to the nearest tenth.

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

x----> the perimeter of the larger figure

y ----> the perimeter of the smaller figure

we have

substitute

step 2

Find the area of the larger figure

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x----> the area of the larger figure

y ----> the area of the smaller figure

we have

substitute

1,589.63 in.^3

step-by-step explanation:

i hope this you : d