math

a rectangle is five times as long as it is wide. if it were 24 cm shorter and 24 cm wider, it would be a square. What are its dimensions?

  1. 👍 0
  2. 👎 0
  3. 👁 130
  1. width--- x
    length --- 5x

    "would be" situation:
    width = x+24
    length = 5x - 24

    then 5x -24 = x+24
    4x = 48
    x = 12

    the rectangle is 12 by 60

    check:
    had it been 24 shorter ---> length = 60-24 = 36
    had it been 23 wider -----> width = 12 + 24 = 36
    all is good!

    1. 👍 0
    2. 👎 0
    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    A rectangle is 4 times as long as it is wide. A 2nd rectangle is 5centimeters longer and 2 centimeters wider than the first. what are the dimensions of the original rectangle?

    asked by maya on January 13, 2011
  2. Math

    Rectangle A is 8 cm long and 4 cm wide. Rectangle B is 4 cm long and 2 cm wide. What is the ratio of the area of rectangle A to rectangle B? 8x4=32 4x2=8 32:8 Is my answer correct?

    asked by Rene' on January 18, 2017
  3. math

    a rectangle is 4 times as long as it is wide. a second rectangle is 5 centimeters longer and 2 centimeters wider than the first. the area of the second rectangle is 530 square centimeters greater than the first. what are the

    asked by tony on January 15, 2011
  4. Math

    A rectangle is 3 times as long as it is wide and has the same perimeter as a square whose are is 4 sp.ft. larger than that of the rectangle. What are the dimensions of both the rectangle and the square?

    asked by Gabby on May 10, 2010
  5. algebra

    a rectangle is 4 times as long as it is wide. a second triangle is 5 centimeters longer and 2 centimeters wider than the first. the area of the second rectangle is 270 square centimeters greather than the first. what are the

    asked by sabrina on June 3, 2008
  6. Intermediate algebra, concepts and graphs

    A rectangle is 7 times as long as it is wide. The perimeter is 80 feet. find the dimensions.

    asked by Lisa on June 8, 2013
  7. algebar

    A rectangle is 5 times as long as it is wide. If the area is 125 square feet, find its perimeter.

    asked by brenda on January 26, 2013
  8. math

    A rectangle is 3 times as long as it is wide, it's area is 108 square centimeters. What is the length? what is the width?

    asked by daniel on April 5, 2011
  9. math

    One rectangle is twice as long as it is wide. The second rectangle is 3cm longer than the first one, and 1cm narrower than the first one. The areas of both rectangles are the same. What are the dimensions of the first rectangle?

    asked by hari on March 14, 2017
  10. math

    which figure does not show a line of symmetry? there's an isosceles triangle, a wide hexagon, a rectangle and a long pentagon i think its either the rectangle or the wide hexagon.

    asked by Gabby ( 5 grade) on April 15, 2012

More Similar Questions