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The area of a rectangular garden is 20 square inches. The length is 4 more than three
times the width. Find the length and the width of the rectangular garden?

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NataleighScottlyngo

Problem:

The area of a rectangular garden is 20 square inches. The length is 4 more than three times the width. Find the length and the width of the rectangular garden?

Solution:

The area of rectangular is length times width to solve the problem, should you have to remember the formula of area od rectangular.

  • A = lw

In our problem we are told that the length is 4 more than three times the width. Since the length is described in terms of the width we can let

  • w = width of the rectangle

Let w be the width

Then, let 4 + 3w be the length

The area of rectangular is 20

The area being 20 inch gives us the equation.

  • A = lw
  • 20 = (4 + 3w)w
  • 20 = 4w + 3w²
  • 3w² + 4w - 20 = 0
  • (3w + 10)(w - 2) = 0
  • 3w + 10 = 0 or w - 2 = 0
  • w = -10/3 or w = 2

The width is the positive value of w is:

  • w = 2

If the width is 2 inch, then substitute the w in the equation of the length to find its value.

  • L = 4 + 3w
  • L = 4 + 3(2)
  • L = 4 + 6
  • L = 10

Answer:

Therefore, the area of the width is 2 inch and the length is 10 inch.

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