Post a New Question

grade 6 math

posted by .

The shorter side of a rectangle is 20 m. Decreasing the longer side by 30 cm reduces the perimeter by one half. How long are the longer sides of the original rectangle? Explain the reasoning.

  • grade 6 math -

    Let S = shorter side, L = longer side and P = perimeter (all in meters).

    2S + 2L = P ---> 40 + 2L = P

    2S + 2(L - .3) = P/2 ---> 40 + 2(L - .3) = P/2

    Substitute the value for P from the first equation into the second. Solve for L.

    I hope this helps. Thanks for asking.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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.
  2. math

    The area of a rectangle is 24, and its diagonal is radical 52. Find its dimensions and perimeter. Longer side = ?
  3. 7th grade

    one side of a rectangle is 15 centimeters longer than the other side. the perimeter of the rectangle is 94 centimeters. what is the width of the rectangle?
  4. math

    A square and a rectangle have equal areas. The length of the rectangle is 9 cm longer than the side of the square and the width of the recangle is 6 cm shorter than the side of the square. How long is the side of the square?
  5. Alg II

    I have a rectangle whose sides are in the proportion b:a, where b is the longer side. I draw a line parallel to a inside the rectangle in order to break it up into a square with sides of length a and a second rectangle. Amazingly, …
  6. Math

    answer to travis has designed a rectangle with an area of 59 square units. his rectangle is the smallest rectangle with whole number side lengths. what are the length and width of the rectangle, explain your reasoning. what is the …
  7. math

    The perimeter of the rectangle is 24 cm, the long side is x + 2, the width side is x , if a new rectangle is created by doubling the lengths of the original rectangle's longest sides, what would the new rectangle's perimeter be ?
  8. Math

    The perimeter of a rectangle is 46 cm. One side is 9 cm longer than the other side. Find the lengths of the sides.
  9. math

    A square has the same area as a rectangle whose longer side is 2 times the length of its shorter side. If the perimeter of the rectangle is 24, what is the perimeter of the square?
  10. mathe

    The longer sides of an rectangle are 3 times as long as the shorter sides. If the perimeter is 100 ft, what are the dimensions of the rectangle

More Similar Questions

Post a New Question