Question

These figures are similar. Thearea of one is given. Find thearea of the other.area=32 in 29 in12 in[ ? Jina

Answer 1

Remember that

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

and

The ratio between corresponding sides is proportional, and this ratio is called the scale factor

so

In this problem

step 1

Find out the scale factor

scale factor=9/12

step 2

Find out the area of the smaller figure

Let

x ----> area of the smaller figure

so

x/32=(9/12)^2

x/32=81/144

x=32*81/144

x=18 in2

the answer is 18 in2