Nassau
posted by Alyssa on .
The length of the smaller rectangle at the right is 1 inch less than twice its width. Both the dimensions of the larger rectangle are 2 inches longer than the smaller rectangle. The area of the shaded region is 86 square inches. What is the area of the larger rectangle?

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What does Nassau have to do with math?

The length of the smaller rectangle at the right is 1 inch less than twice its width. Both the dimensions of the larger rectangle are 2 inches longer than the smaller rectangle. The area of the shaded region is 86 square inches. What are the dimensions of the smaller rectangle?

What shaded region?

I will assume that the smaller rectangle is inside the larger, and the "shaded" region is the difference in their areas, so ...
(2x+1)(x+2)  (2x1)(x) = 86
2x^2 + 5x + 2  2x^2 + x  86 = 0
6x = 84
x = 14
the smaller is 14 by 27 
14 by 27

2+2=4