geometry

the perimeter of a rectangle is 70m. if the width were doubled and length were increased by 24m, the perimeter would be 142m. what are the length and width of the rectangle?

  1. 👍 0
  2. 👎 0
  3. 👁 125
asked by lucky
  1. W+W+L+L=70
    (2W)+(2W)+(L+24)+(L+24)=142

    Solve for W in terms of L.
    W+W+L+L=70
    W=(70-2L)/2
    Use substitution to find L.
    (2[(70-2L)/2])+(2[(70-2L)/2])+(L+24)+(L+24)=142
    Then Plug the L value back into W=(70-2L)/2 to find W

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    The perimeter of a rectangle is 66m. if the width were doubled and the length were increased by 24m, the perimeter would be 132m. What are the length and width of the rectangle

    asked by miriam on December 4, 2018
  2. Math

    The perimeter of a rectangle is 46m. If the width were doubled and the length were increased by 12m, the perimeter would be 82m. What are the length and width of the rectangle?

    asked by Mona on July 24, 2011
  3. math

    The length of a rectangle is twice the width. If the length is increased by 6, and the width is doubled, a new rectangle is formed whose perimeter is 20 more than the perimeter of the original rectangle. Find the dimensions of the

    asked by jackie on October 30, 2015
  4. 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

    asked by vero on March 12, 2007
  5. maths

    the length of a rectangle is 3 less than 5 times its width. Write a simpified algebriac expression for the perimeter of a rectangle. If the rectangle width is tripled and its length is doubled,the perimeter of new rectangle is

    asked by aisha on November 24, 2010
  6. 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

    asked by vero on March 13, 2007
  7. Algebra

    The perimeter of rectangle is 62 m. If the width were doubled and lenght were increased by 9 m, the perimeter would be 104m. What are the lenth and width of a rectangle?

    asked by Anonymous on November 27, 2012
  8. algebra

    The width of a rectangle is three fourths the length. The perimeter of the rectangle becomes 50 cm when the length and the width are each increased by 2cm. Find the length and the width. Draw a diagram and convince yourself that

    asked by summer on September 19, 2006
  9. Quadratic Equation

    The dimensions of a rectangle are such that its length is 3 in. more than its width. If the length were doubled and if the width were decreased by 1in., the area would be increased by 150 in.^2. What are the length and width of

    asked by Brandon on March 15, 2011
  10. algebra

    the dimensions of a rectangle are such that its length is 5 in more than its width. If the length were doubled and the width were decreases by 2 in, the area would be increased 136 in^2,what are the length and width of the

    asked by Anonymous on July 27, 2013

More Similar Questions