The areas of two similar rectangles are 80 square feet and 500 square feet.

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

A.25/64

B.5/8

C.25/4

D.5/2

Question

The areas of two similar rectangles are 80 square feet and 500 square feet.

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

A.25/64

B.5/8

C.25/4

D.5/2

anonymous · Answer

I think it's D.....

anonymous · Answer

what do you think @mwill<3

anonymous · Answer

Your first instinct is usually correct.

anonymous · Answer

what do you think @timaashorty

ipwnbunnies · Answer

Make it into an equation.
80x = 500

ipwnbunnies · Answer

Solve for x, simplify the fraction. That'll be your scale factor.

timaashorty · Answer

I think it's C.

timaashorty · Answer

especially if you do what ipwn said then x = 25/4

anonymous · Answer

i thought I had to square root 25/4...

timaashorty · Answer

or find the ratios by simplifying :
 500/80 = 50/8 = 25/4

ipwnbunnies · Answer

I don't think you have to because we're already finding the scale factor of the areas.

anonymous · Answer

oh thank you @timaashorty & @iPwnBunnies  :)

timaashorty · Answer

You're very welcome (:

ipwnbunnies · Answer

Good observation though, if we were given side length and had to find scale factor of area, we might've used square root/squaring.

anonymous · Answer

thanks for the medal @iPwnBunnies

anonymous · Answer

the answer was D....

anonymous · Answer

What was the answer? I have 2/5 as an answer option, but not 5/2.