Posted by **Alyssa** on Thursday, August 4, 2011 at 4:57pm.

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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**Writeacher**, Thursday, August 4, 2011 at 5:01pm
Please put the school SUBJECT in the subject line in order to get a response from a tutor with this expertise.

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**Ms. Sue**, Thursday, August 4, 2011 at 5:01pm
What does Nassau have to do with math?

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**Alyssa**, Thursday, August 4, 2011 at 5:14pm
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?

- Nassau -
**bobpursley**, Thursday, August 4, 2011 at 5:19pm
What shaded region?

- Nassau -
**Reiny**, Thursday, August 4, 2011 at 5:21pm
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) - (2x-1)(x) = 86

2x^2 + 5x + 2 - 2x^2 + x - 86 = 0

6x = 84

x = 14

the smaller is 14 by 27

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