Question

The areas of two similar rectangles are 200 square feet and 512 square feet.


What scale factor applied to the smaller rectangle will give the larger rectangle?

Answer 1

Let's call the scale factor k.
The area of a rectangle is length times width.
A_small = lw
Multiplying each side of the small rectangle by k will give the larger rectangle, so
A_large = (kl)(kw)
A_large = k²(lw)
A_large = k²(A_small)

Answer 2

thank you