Avegetable garden with an area of 200 square feet is to be fertilized. if the length of the garden is 1 foot less than three times the width, find the dimensions of the garden. show work.

Dimensions of the garden are 24 feet by 8.33 feet.

Step-by-step explanation:

Let the dimensions of the vegetable garden is length = l and width = w foot

Area of the vegetable garden = 200 square feet

Since length of the garden is 1 foot less than the 3 times the width.

l = 3w - 1

Area of the garden = w × l = 200

w(3w - 1) = 200

3w² - w = 200

3w² - w - 200 = 0

By quadratic formula

w =

  =

  =

w = -8 or 8.33 foot

Since dimensions can not be negative therefore, width of the garden will be 8.33 foot

Since l = 3w - 1

           = 3×8.33 - 1

           = 25 - 1

           = 24

Dimensions of the garden are 24 feet by 8.33 feet

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