Math

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. 22
asked by Eliza VERY URGENT
  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. 0
    2. 0
    posted by Steve
  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. 0
    posted by Henry2
  3. Original Rectangle: Length = 12+20 = 32 cm, Width = 12cm.

    1. 0
    2. 0
    posted by Henry2

Respond to this Question

First Name

Your Response

Similar Questions

  1. Geometry

    The point of intersection of the diagonals of a rectangle is 4 cm further away from the smaller side than from the larger side of the rectangle. The perimeter of the rectangle is equal to 56 cm. Find the lengths of the sides of

    asked by Anonymous on April 10, 2017
  2. math

    The point of intersection of the diagonals of a rectangle is 4 cm further away from the smaller side than from the larger side of the rectangle. The perimeter of the rectangle is equal to 56 cm. Find the lengths of the sides of

    asked by Anonymous on April 9, 2017
  3. Math Radical functions properties

    One side of a rectangle is 6 units larger than the other. If the area of the rectangle is A, what is the length of the smaller side?

    asked by Ram on April 18, 2013
  4. Math Radical functions...

    One side of a rectangle is 6 units larger than the other. If the area of the rectangle is A, what is the length of the smaller side?

    asked by Anonymous on April 18, 2013
  5. Math

    One side of a rectangle is 6 units larger than the other. If the area of the rectangle is A, what is the length of the smaller side?

    asked by Ram on April 17, 2013
  6. Physics

    Suppose you are asked to determine the perimeter of a seven-sided irregular figure. You make the following measurements: Side 1 = 3.2 m Side 2 = 4.8 m Side 3 = 2.000 m Side 4 = 8.94 m Side 5 = 11 m Side 6 = 7.566 m Side 7 = 4.0 m

    asked by Kevin on September 6, 2012
  7. Math

    2x^2+9x-5 is the area of a rectangle and one side of the rectangle is x+5, What is the other side of the rectangle? A volume of a cube is 15625cm cubed. What is the length from point A to B in the cube? Point A is on the front

    asked by Miley on January 24, 2014
  8. proof by mathematical induction

    subject is PreCalulus. 2^(k+3) = and < (k+3)! i know how to do proving using mathematical induction when its just an equal sign, but I don't understand what to do when its an inequality. thank you!!! Here is what I would do Step

    asked by Cait on January 5, 2007
  9. Pre-Cal

    The diagonal and the longer side of a rectangle make an angle of 43.2. If the longer side is 12.6cm, find the length of the shorter side.

    asked by Daisy on January 29, 2008
  10. geometry

    A rectangle with an area of 32 inches squared has one side measuring 4 inches. A similar rectangle has an area of 288 inches squared. How long is the longer side in the larger rectangle?

    asked by Tori on February 11, 2011
  11. Geomtery please help??

    Ok if I have a rectangle MNOP ~ rectangle STUV. what is the length of TU with a line over TU? First rectangle is MNOP with 10 on one side and 4 on anotherside. Second rectangle is STUV. With one side marked X for unknown #. And

    asked by Tamara on April 17, 2013

More Similar Questions