Michael J. answered • 10/13/16

Effective High School STEM Tutor & CUNY Math Peer Leader

I believe I showed you how to answer this question before. But in case you did not read my answer, I will guide you through the steps.

You are going to set the inequality

area of shaded region ≥ 12

and you know that

area of shaded region = area of entire figure - area of unshaded region

I will assume that the shaded region is the boundary between the rectangle and triangle.

area of shaded region = area of rectangle - area of triangle

= (length *width) - area of triangle

= 3r - area of triangle

Therefore,

3r - area of triangle ≥ 12

3r ≥ 12 + area of triangle

**r ≥ 4 + (area of triangle / 3)**

You did not give dimensions of triangle, unless the answer is supposed to be in this general form.

Roman P.

04/05/18