math

the dimensions of a rectangle are such that its length is 3 inches more than its width. if the length were double and if the width were decreased by 1 inch, the area would be increased by 66inches ^2. What are the length and width of the rectangle?

1. 👍 0
2. 👎 0
3. 👁 329
1. Let w = width and w+3 = length.

2(w+3)(w-1) - w(w+3) = 66

Solve for w, then w+3.

1. 👍 0
2. 👎 0

Similar Questions

1. Geometry

1.What is the perimeter of a rectangle with width 10 inches in length 13 inches? A.23inches B.36inches C.46inches*** D.130inches 2.What is the area of a triangle with base 19 inches and height 11 inchinches? A.209square inches

2. Math

The length of a rectangle is 5 inches less than 3 times the width. The perimeter of the rectangle is 14 inches. Find the length and width of the rectangle. I did this: Length 3x-5; width 3x Then I did guess and check and came up

3. math

an architect wants to draw a rectangle with a diagonal of 13 inches.the length of the rectangle is to be 2 inches more thn twice the width.what dimensions should she make the triangle. (a)set up an equation: (b)solve the equation:

4. Math

Enter your answer and show all the steps that you use to solve this problem in the space provided. An image of a rocket is shown. The rocket is made up of a triangle, a rectangle, and a trapezoid. The triangle at the top of the

1. Algebra

The rectangle shown has a perimeter of 118 cm and the given area. Its length is 4 more than four times its width. Write and solve a system of equations to find the dimensions of the rectangle. (rectangle has an area of 528 cm^2)

2. algebra

a rectangle has a length of 17 inches more than twice its height. If the perimeter of a rectangle is 304 inches, find its dimensions.

3. Math

The length of a rectangle is 6 inches less than 3 times its width. Find the dimensions of the rectangle if its area is 45 square inches.

4. geometry

the lenght of a rectangleis 6 inches more than its width. The area of the rectangle is 91 square inches. Find the dimensions of the rectangle

1. math

The length of a rectangle is 2 inches more than twice its width. If the perimeter of the rectangle is 34 inches, find the dimensions of the rectangle

2. basic geometric

10. a rectangle has width the same as a side of a square whose perimeter is 20m. the length of the rectangle is 9m. find the perimeter of this rectangle. 34. The width of a rectangular picture is one-half the length. The perimeter

3. Nassau

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.

4. algebra

The length of a rectangle is 4 inches more than twice the width. If the area of the rectangle is 48 square inches, what is the length of the rectangle? SHOW WORK. Thank you!!