Quadrilateral abcd is dilated to produce quadrilateral a′b′c′d′ with a scale factor of n. if the area of abcd is r, what is the area of a’b’c’d’

The area of the quadrilateral a'b'c'd' is

Step-by-step explanation:

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 dilated quadrilateral a'b'c'd'

y----> the area of the original quadrilateral abcd

we have

substitute the values

------> area of the quadrilateral a'b'c'd'