Question

Eli has a picture of this trapezoid and needs to dilate it using a scale factor of 2.5, What is the area ofthe dilated figure in square units?

Answer 1

I don’t have the trapezoid’s original dimensions from your picture. But dilation by a factor k multiplies area by k^2. Here k = 2.5 so area scale = (2.5)^2 = 6.25.

So:
- If the original trapezoid’s area is A, the dilated area = 6.25·A.
- If the trapezoid’s bases are b1 and b2 and height h, original area = 1/2·(b1+b2)·h, so dilated area = 6.25·[1/2·(b1+b2)·h].

If you post the trapezoid’s base lengths and height (or the picture), I’ll compute the numeric answer.