The areas of two similar triangles are 80 square feet and 500 square feet. what scale factor applied to the smaller rectangle will give the larger triangle? a. 25/64 b. 25/4 c. 5/8 d. 5/2

So in order to get the small rectangle big we need a whole number bigger that 1 or an improper fraction so let's cross out the answer choices that don't meet the above requirements!!

A and C are not improper fractions and are less than 1 so they're wrong!!

We can solve by making an equation,



So 80 × what will give us 500.

We can do this two ways and I'll show you both!!



We can divide both sides by 80 and get,



Which is answer choice B which makes sense since answer choice D is too small.

Or, we can plug in our two answer choices and see if it checks out to be 500!!



The above statement is true!!



The above statement is false since 80 × 5/2 = 200, not 500, the number we need!!