One side of a rectangle is 20 cm larger than the other side. If you make the smaller side two times larger and the larger side three times larger, then the perimeter of the new rectangle would be 240 cm. Find the lengths of the sides of the original rectangle.

  1. 👍 0
  2. 👎 0
  3. 👁 212
  1. If the original sides were x and y, they have told you that
    y = x+20
    the new perimeter is
    2(2x + 3y) = 2(2x+3(x+20)) = 2(2x+3x+60) = 2(5x+60) = 10x+120 = 240
    so, x=12, making y=32

    1. 👍 2
    2. 👎 0
  2. Initially:
    Width = W.
    Length = W+20 cm.

    Increased side:
    Width = 2W.
    Length = 3W+60 cm.
    P = 2(2W) + 2(3W+60) = 240 cm.
    W = 12 cm.
    Width = 2W = 24 cm.
    Length = 3W + 60 = 36 + 60 = 96 cm.

    1. 👍 0
    2. 👎 1
  3. Original Rectangle: Length = 12+20 = 32 cm, Width = 12cm.

    1. 👍 1
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    The perimeter of the rectangle below is 74 units. Find the length of side AB . Write your answer without variables. DC (top) 4z-1 CB (right side) 3z+3 AB (bottom) unknown

    asked by Caleb on December 8, 2015
  2. math

    The rectangle pictured consists of two squares placed side by side. The perimeter of the rectangle is 60 cm. What is the number of square centimeters in the area of the rectangle?

    asked by G on March 23, 2015
  3. pre calc

    suppose you have 102m of fencing to make two side by side rectangles, making one large rectangle when put together. What is the maxium area that you can enclose?

    asked by Kate on January 20, 2008
  4. Math 8

    A stop sign has each side measures of 12.4 inches, and the distance from any side to the opposite side is 30 inches. Divide the stop sign into one rectangle and two trappezoids. What are the dimensions of the rectangle and each of

    asked by Lisa on April 9, 2017
  5. Algebra

    The stadium has a form of a rectangle with two semicircles attached to the short sides. The long side of a rectangle is 2 times longer than the short one. Construct the expression for the area of the stadium in terms of x, where x

    asked by Helen on January 13, 2020
  1. Geometry

    I have a rectangle MNOP ~ rectangle STUV. What is the length of line TU?? First rectangle is MNOP with 10 on top and 4 on the side. Second rectangle is STUV. With the top marked X for the unknown number and n the side is 6. I need

    asked by R on March 5, 2016
  2. math

    The length of a rectangle is three times the length of a side of a square and the width of the rectangle is two less than the side of the square. If the perimeter of the rectangle is twenty eight more than the perimeter of the

    asked by vincent on July 30, 2013
  3. Math

    Search: Side of a rectangle is in the ratio 1:1√2 if the length of the larger sides is 12cm then find its area

    asked by Basheera on December 4, 2016
  4. Math

    A rectangle has a perimeter of 12 x +8y. If one side of the rectangle is 4x-2y. write and expression of the other side. 2(2x +y) is this right

    asked by Joe on October 30, 2019
  5. College math

    7) A rectangular pen can be constructed using the side of a barn as one boundary and 5500 ft. of fence to make the other three sides. Find the length and width of the rectangle to make the largest area. Hint: Draw a picture- and

    asked by Michala on July 20, 2014
  6. algebra

    One side of a rectangle is 12 inches, and the other side is x inches.What values of x will make the perimeter at most 44 inches?

    asked by jessi on February 3, 2011

More Similar Questions