164k views
9 votes
A trapezoid with area 55 square units is dilated by a scale factor of k. If k is equal to 2/3, find the area of the image.

User Bobbi
by
3.4k points

1 Answer

9 votes

Answer as a fraction = 220/9

Answer in decimal form = 24.44 approximately

=======================================================

Step-by-step explanation:

The linear scale factor is k = 2/3.

The area scale factor is k^2 = (2/3)^2 = 4/9

We'll multiply the old area (55) by the area scale factor (4/9) to get the area of the smaller image.

55*(4/9) = 220/9 = 24.44 approximately

User Danielz
by
3.6k points