# Algebra

posted by .

The perimeter of a rectangle equals the sum of its lengths of its 4 sides. If the width of a rectangle is 4 inches and its perimeter is 38 inches, find the length of the rectangle.

• Algebra -

P = Perimeter

L = Legth

W = Width

P = 2 L + 2 W = 2 ( L + W )

38 = 2 ( L + 4 ) Divide both sides by 2

19 = L + 4 Subtract 4 to both sides

19 - 4 = L + 4 - 4

15 = L

L = 15 in

## Similar Questions

1. ### 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 …
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. ### math

Suppose that the width of a rectangle is 5 inches shorter than the length and that the perimeter of the rectangle is 50 inches. The formula for the perimeter of a rectangle is P=2L+2W. a) Set up an equation for the perimeter involving …
4. ### geometry

The perimeter of the rectangle is 19 inches. The perimeter of the inscribed triangle is also 19 inches. What is the width of the rectangle?
5. ### geometry

A rectangle measures 6 inches in length by 9 inches in width. If the rectangle will be enlarged by 250%, what will be the lengths of the sides of the new rectangle?
6. ### MTH208

The perimeter of a rectangle equals the sum of the lengths of its four sides. If the width of a rectangle is 3 inches and its perimeter is 42 inches, find the length of the rectangle
7. ### Math

The perimeter of a rectangle equals the sum of the length of its four sides.If the width of the rectangle if 7 inches and its perimeter is 48 inches, what is the length of the rectangle?
8. ### Algebra 1

The perimeter of a rectangle equals the sum of the lengths of its four sides. If the width of a rectangle is 4 inches and its perimeter is 36 inches, find the length of the rectangle. The length of the rectangle is ?
9. ### algebra

The perimeter of a rectangle equlas the sum of the lengths of its four sides. If the width of a rectangle is 7 inches and its perimeter is 46 inches, find the length of the rectangle
10. ### algebra

The perimeter of a rectangle equals the sume of the lengths of its four sides. If the width of a rectangle is 9 inches and its perimeter is 52 inches, find the length of the rectangle.

More Similar Questions