mrs.kurth is redesigning her backyard garden. if she would like to quadruple the area of her current garden the by what scale factor should she increase its dimensions

Answer 1

Hello, Zoey,

I'll assume Mrs. Kurth's garden is in the shape of a rectangle. The area of a rectangle is the width (W) times the length (L), or A = WL.

We want quadruple the area, or 4A. The question wants to know the factor she needs to scale to this size. If we double the demensions (2W and 2L) we would get 2L*2W, or 4WL. Since WL is the original area, a, we see that 4WL = 4A.

By scaling up by a factor of 2, Mrs. Kurth's garden quadruples in size.

Bob