Use the given area to find stuff

a. 13.5 in.
b. 15 in.
c. 22.5 in.
d. 25 in.

Option B.

Step-by-step explanation:

step 1

Find the scale factor

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----> area of the larger pentagon (UVWXY)

y----> area of the smaller pentagon (LMNPO)

we have

substitute

step 2

Find XY

we know that

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

Let

z----> the scale factor

x----> side XY of the larger pentagon (UVWXY)

y----> side OP of the smaller pentagon (LMNPO)

we have

substitute

therefore

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