College Algebra

The perimeter of a rectangle is
72 feet. The length of the rectangle is twice the width. Find the length and width of the rectangle.

  1. 👍
  2. 👎
  3. 👁
  1. So if P=72ft , let's find an equation to compare! Perimeter=(Length x 2)+(width x 2) but we know that the length is twice the width or 2L=w , so let's substitute this back into our equation, P=(2L)(2w)=(2L)(2(2L))=8L^2=72
    L^2=9
    L=+-3 but it doesn't make sense to have a negative length so L must be 3. Plugging this back in, we get that 2L=w so w=6

    1. 👍
    2. 👎
  2. L = 2W

    2L + 2W = 72
    L + W = 36
    2W + W = 36
    3W = 36
    W = 12 ----> L = 24

    The rectangle is 24 ft long and 12 feet wide

    check:
    perimeter = 24+24+12+12 = 72

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    A rectangle has area 64 m2. Express the perimeter of the rectangle as a function of the length L of one of its sides. State the domain of P. (Assume the length of the rectangle is larger than its width. Enter your answer using

  2. Math,Ratio

    the length of a rectangle is 6times as long as its breadth. a.) what fraction of the perimeter of the rectangle is the length of the rectangle? b.) find the ratio of the length of the rectangle to its breadth and to its perimeter.

  3. Math

    the perimeter of a rectangle is 108 cm. if the length of the rectangle is 5 tikes the width what are the demensions of the rectangle

  4. math

    A rectangle has a perimeter of 24 and an area of 35 square feet. What is the length and width of the rectangle?

  1. math

    The length of a rectangle is 7 cm longer than its width. If the perimeter of the rectangle is 74cm, find the length and the area of the rectangle.

  2. Math

    The formula for the perimeter of a rectangle is P = 2l + 2w. The length of a rectangle is 3 times its width. Which expression represents the perimeter of the rectangle? Question 3 options: 2 + w(3w) 2 + w(w + 3) 2(3w) + 2w 2(w +

  3. math

    the length of a rectangle is 5 ft more than twice the width. a)if x represents the width of the rctangle, represent the perimeter of the rectangle in terms of x. b) if the perimeter if the rectangle is 2 ft more than eight times

  4. Geometry

    The perimeter of a rectangle is 192 feet. The length of the rectangle is twice the width. Find the length and width of the rectangle.

  1. 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

  2. Mathematics

    The width of a rectangle is 20m less than twice its length. If the perimeter of the rectangle is more than 56m, find the minimum dimensions of the rectangle if each dmension in meters is an integer.

  3. MATH

    The length of a rectangle is 3 feet less than twice the width of the rectangle. If the perimeter of the rectangle is 144 feet, what is the length?

  4. Math

    The perimeter of a rectangle is 154 feet. The length of the rectangle is 55 feet. What is the width of the rectangle?

You can view more similar questions or ask a new question.