# Math 209

posted by .

The width of a rectangular carpet is 7 meters shorter than the length, and the diagonal is 1 meter longer than the length. What are the carpet's dimensions?

• Math 209 -

length -- x
width --- x-7
hypotenuse -- x+1

x^2 + (x-7)^2 = (x+1)^2
x^2 + x^2 - 14x + 49 = x^2 + 2x + 1
x^2 - 16x + 48=0
(x-4)(x-12) = 0
x = 4 or x=12 , but x > 7 to have a positive width
so x = 12

length = 12 metres
width = 5 metres

## Similar Questions

1. ### 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 …
2. ### math

A rectangular Persian carpet has a perimeter of 240 inches. The length of the carpet is 30 inches more than the width. What are the dimensions of the carpet?
3. ### College Algebra

The length of a rectangular carpet is 6 feet greater than twice its width. If the area is 72 square feet, find the carpet's length and width.
4. ### Algebra

Lisa is cutting carpet for a rectangular room. The area of the room is 324ft^2 . The length of the room is 3 feet longer than twice he width. What should the dimensions of he carpet be?
5. ### Algebra

A rectangular Persian carpet has a perimeter of 212 inches. The length of the carpet is 24 inches more than the width. What are the dimensions of the carpet?
6. ### PLZ HELP MRS.SUE I NEED HELP TODAY

A designer enlarged both the length and the width of a rectangular carpet by 50 percent. The new carpet was too large so the designer was asked to reduce its length and its width by 20 percent. By what percent was the area of the final …
7. ### math

A designer enlarged both the length and the width of a rectangular carpet by 50 percent. The new carpet was too large so the designer was asked to reduce its length and its width by 20 percent. By what percent was the area of the final …
8. ### Math

A rectangular Persian carpet has a perimeter of 216 inches. The length of the carpet is 30 inches more than the width. What is the dimension of the carpet
9. ### Math

A designer enlarged both the length and the width of a rectangular carpet by 50 percent. The new carpet was too large so the designer was asked to reduce its length and its width by 20 percent. By what percent was the area of the final …
10. ### College Algebra

The area of a rectangular carpet is 12 square feet. The length is four feet more than the width. Find the length and the width of the carpet.

More Similar Questions