Question

Solve this problem.

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?

Answer 1

Let x = the width of the smaller rectangle.

The length of the smaller rectangle is 2x - 1.

Area is A = lw

So the area of the smaller rectangle is A = (x)(2x - 1) = 2x^2 - x

Explanation:

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