Question

If rectangle ABCD is dilated by a scale factor of 1.5 with a center of dilation at vertex A, how does the area of A'B'C'D' compare with the area of ABCD?

Answer 1

The answer is "D"

Explanation:

Answer 2

A’/A = 2.25

Explanation:

Let the length and width of ABCD be l and w respectively.

A = lw

=====

For rectangle A’B’C’D’

l’ = 1.5l and w’ = 1.5w

A’ = l’w’

A’ = 1.5l × 1.5 w

A’ = 2.25 lw

=====

A’/A = 2.25lw/(lw) Cancel lw

A’/A = 2.25

The area of the dilated rectangle is 2.25 times that of the original.