math algebra

posted by .

the area of a rectangular garden is 120 square meters. the width is 3 meters longer than 1/3 of the length. find the legth and the width of the garden.

  • math algebra -

    length --- x
    width ---- x/3 + 3

    x(x/3 + 3) = 120
    x^2/3 + 3x - 120 = 0
    x^2 + 9x - 360 = 0
    (x-15)(x+24) = 0
    x = 15 or x = -24, but x > 0

    the length is 15
    width = 15/3 + 3 or 8

    check (8)(15) = 120
    3 more than 1/3 of 15 gives us 8

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra

    a rectangular garden is located adjacent to a house the family needs to fence in the garden the family wants three side because one side is up against the house the length is 5 meters longer than the width and the area of the garden …
  2. math

    a fencing company was asked to enclose three gardens with wire fences: a rectangular garden with a length of 270 meters and a width of 1123.62 meters; a square garden with a side length of 657.955 meters; and a rectangular garden with …
  3. math

    a rectangular garden has a length of 9 meters and a width of 7 meters. inside the garden is a square patch of roses. the patch is a square with sides of 4 meters. what is the area of the part of the garden NOT covered by roses?
  4. math

    Mr. smith wants to buy some fencing to completely surround his rectangular garden. He knows that the total perimeter of the garden is 26 meters and the total area is 40 square meters. What is the garden’s length and width?
  5. Math

    The area of a rectangular garden is 110 square meters. The width is 6 meters loner than one-half of the length. Find the length and the width using area=lengthxwidth
  6. math 035

    The area of a rectangular garden is 140 square meters. The width is 3 meters longer than ​one-half of the length.
  7. Math

    The area of a rectangular garden is 38 1/4 square meters. The width of the garden is 4 1/2 meters. Find the length of the garden. I am completely confused on this problem and desperately need step by step instruction on this one.
  8. MATHS

    A garden is 50 meters wide and 120 meters long. There is a pathway that runs along the perimeter inside the garden. If the area of the pathway is half of the area of the garden, then the width of the pathway is ....?
  9. Math

    A rectangular garden in a backyard has an area of (3x^2+5x-6) square meters. It's width is (x+2) meters A. Find the length of the garden B. You decided to partition the garden into two or more smaller congruent gardens.Design a possible …
  10. Math

    The perimeter of a rectangular garden is 108 meters. The length is 6 meters longer than twice the width. Find the dimensions of the garden.

More Similar Questions