Math

posted by .

A Quadratic Word Problem

The length of a rectangular garden is 4 yards more than the width. The area of the garden is 60 square yards. Find the dimensions of the garden.

  • Math -

    W = Garden width

    H = Garden height

    A = Garden area


    L = W + 4

    A = L * W

    60 = ( W + 4 ) * W

    60 = W ^ 2 + 4 W Add 4 to both sides

    64 = W ^ 2 + 4 W + 4

    ________________________________________

    Remark :

    W ^ 2 + 4 W + 4 = ( W + 2 ) ^ 2

    ________________________________________


    64 = ( W + 2 ) ^ 2

    W + 2 = sqrt ( 64 )

    W + 2 = + OR - 8 Subtract 2 to both sides

    W + 2 - 2 = + OR - 8 - 2

    W = + OR - 8 - 2

    Solutions :

    W = 8 - 2 = 6

    and

    W - 8 - 2 = - 10

    Width can't be negative so :

    W = 6 in

    L = W + 4 = 6 + 4 = 10 in

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra 1

    A landscaper has two gardens: one is a square and the other is a rectangle. The width of the rectangular garden is 5 yards less than a side of the square one, and the length of the rectangular garden is 3 yards more than a side of …
  2. math

    The Aesthetic Garden Problem. A landscape architect wants the length of a rectangular shaped flower garden to be twice the width. The garden should have a total area of 288ft^2. what are the dimensions of the garden?
  3. algebra verbal linear equation

    Allison has a square root flower garden and Lauren has a rectangular flower garden the width of the rectangular garden is 2 yards less than a side of the squaare garden and the length of the rectangular garden is 5 yards more than …
  4. math

    The length of a rectangular garden is 4 yards more than the width. The area of the garden is 60 square yards. Find the dimensions of the garden.
  5. Math

    The length of a rectangular garden is 4 yards more than the width. The area of the garden is 60 square yards. Find the dimensions of the garden.
  6. Math

    Suppose you have 36 yards of fencing to build a fence around a rectangular backyard garden. The width is 18 yards less than twice the length. Find the length and width of this garden.
  7. Algebra

    The length of a rectangular Garden is 40 yards longer then double the width The perimeter of the garden is 470 yards. find length and width of the Garden. L=2W+40 2W+2(2W+40=80 Am I starting off right?
  8. Algebra

    The length of a rectangular Garden is 40 yards longer then double the width The perimeter of the garden is 470 yards. find length and width of the Garden. L=2W+40 2W+2(2W+40=80 Kinda stuck here.
  9. Algebra

    The length of Joe's rectangular garden is 1 meter less than its width and its area is 120m^2. Find the dimensions of the garden. Setup a quadratic equation to find the dimensions of the garden.
  10. math

    Kate’s garden measures 15 yards by 12 yards. In order to make a path around it, she will need to reduce the size of her garden. The dimensions of the smaller garden will be related by a scale factor of 0.7. What is the area of the …

More Similar Questions