# Nassau

posted by .

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?

• Math - assistance needed -

Please put the school SUBJECT in the subject line in order to get a response from a tutor with this expertise.

• Math -

What does Nassau have to do with math?

• 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?

• Nassau -

• Nassau -

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

• Nassau -

14 by 27

• Math -

2+2=4

## Similar Questions

1. ### math

a rectangle is twice as long as it is wide. if both of its dimensions are increased by 4m, its area is increased by 88m^2 find the dimensions of the original rectangle Original rectangle = w for width and 2w for length. Area = w x …
2. ### math ,correction

Directions: Solve each of the following problems. Be sure to show the equation used for the solution. The length of a rectangle is 2in. more than twice its width. If the perimeter of the rectangle is 34 in., find the dimensions of …
3. ### algebra1

The length of a rectangle is twice the width. If the length is increased by 4 inches and the width is decreased by 1 inch, a new rectangle is formed whose perimeter is 198 inches. Find the dimensions of the original rectangle.

Two rectangles are each 5 in. wide. The larger rectangle has an area of 35 sq in . and is 2 in longer than the smaller rectangle. What is the area of the smaller rectangle?
5. ### Algebra Homework, HELP!

1) A rectangle has an area of 297 square inches and a width which is three inches less than four times the length. Find the length and the width of the rectangle. 2) Let x represent the length of the shorter leg in a right triangle. …
6. ### math

The leng of the smaller rectangle is 1 inch less than twice its wide. 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 …
7. ### Algebra

The length of a rectangle is 1 foot less than twice the width, and the area of the rectangle is 21 ft.². Find the dimensions of the rectangle
8. ### Algebra

The area of a rectangle is 21 ft^2,and the length of the rectangle is 1 ft less than twice the width. Find the dimensions of the rectangle.
9. ### algebra

The length of a rectangle is 3 more than twice the width. The area of the rectangle is 119 square inches. What are the dimensions of the rectangle?
10. ### algebra

The length of a rectangle is twice the width.  If the length is increased by 4 inches and the width is diminished by 1 inch, a new rectangle is formed whose perimeter is 198 inches.  Fine the dimensions of the original rectangle.

More Similar Questions