geometry

posted by .

the widthe width of a rectangle is 6 inches less than the length. the perimeter is 72 inches. find the lengtj and the width

  • geometry -

    first represent unknowns using variables:
    let x = length of rectangle
    let x-6 = width of rectangle (according to first statement of problem)
    now we set up equation,, since in the problem we are given the perimeter, we can use this to set up the equation,,
    recall that perimeter of rectangle is
    P = 2*(L+W)
    where L is the length and W is the width
    substituting,
    72 = 2[ x + (x - 6) ]
    we can divide both sides by 2 (to cancel 2 on the right side):
    72/2 = x + x - 6
    36 = 2x - 6
    42 = 2x
    x = 21 inches (length)
    x-6 = 15 inches (width)

    hope this helps~ :)

  • geometry -

    cool

Respond to this Question

First Name
School Subject
Your Answer

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. basic geometry

    A rectangle has width the same asa a side of a square whose perimeter is 20m.the length of the rectangle is 9m. Find the perimeter of this rectangle. 34. The with of a rectangular picture is on-half the length . The perimeter of the …
  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. algebra

    The length of a rectangle is 5 inches longer than its width. Its perimeter is 45 inches. Let w equal the width of the rectangle. Write an expression for the length in terms of the width. Use expressions for the length and width to …
  5. Basic Algebra

    The width of a rectangle is x inches long. The length of that rectangle is 5 inches less than Twice the width. If the perimeter measures 26 inches, what is the measure of the length and width of the rectangle. Show all the work and …
  6. math

    The width of a rectangle is x inches long. The length of that rectangle is 5 inches less than Twice the width. If the perimeter measures 26 inches, what is the measure of the length and width of the rectangle.
  7. 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. …
  8. math

    GEOMETRY The formula for the perimeter of a rectangle is P = 2 + 2w, where is the length and w is the width. A rectangle has a perimeter of 24 inches. Find its dimensions if its length is 3 inches greater than its width.
  9. 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 with …
  10. geometry

    A rectangle has a perimeter of 4242 inches. The width of the rectangle is 33 inches less than one half 1/2 the length. What are the dimensions of this​ rectangle?

More Similar Questions