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The area of the rubber coating for a flat roof was 96 ftΒ². The rectangular frame the carpenter built for the
flat roof has dimensions such that the length is 4 ft longer than the width. What are the dimensions?

Respuesta :

Answer:

Length = 12 ft.

Width = 8 ft.

Step-by-step explanation:

Given :

  • Area = 96 ftΒ²
  • Length = Width + 4 ft.

Let :

  • Length = (x + 4) ft.
  • Width = x ft.

Solving :

  • The formula for calculating area is : Area = Length x Width
  • 96 = (x + 4)(x)
  • xΒ² + 4x - 96 = 0
  • xΒ² + 12x - 8x - 96 = 0
  • x(x + 12) - 8(x + 12) = 0
  • (x - 8)(x + 12) = 0
  • x - 8 = 0 β‡’ x = 8

The dimensions are :

Length = 12 ft.

Width = 8 ft.

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