Question

Triangle PQR has an area of 12 ft2. If it is dilated by a scale factor of 3, what will be the area of triangle P’Q’R’?

A. 108 ft2
B. 36 ft2
C. 324 ft2
D. None of the above.

Answer 1

Original area = 12 =
`(1)/(2) * b *h`

New Area =
`(1)/(2)* 3b *3h = 9 * ((1)/(2) *b *h) = 9 * 12 = 108 ft^(2)`

Hope it helped!