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The length of a rectangle is 8 inches more than its width. The area of a rectangle is 128m^2. Find the dimensions of the rectangle.​

Sagot :

Answer:

  • Let width be x
  • Then length is 8 + x

The formula you should use is:

Area = length × width

⇒ 128 = (8 + x)(x)

⇒ 128 = x² + 8x

⇒ x² + 8x - 128 = 0

⇒ x² - 8x + 16x - 128

⇒ (x+16)(x-8)  = 0

Therefore, x = 8; x = -16.

We ignore negative term.

Therefore, width = 8

Length = 8 + width = 8 + 8 = 16 m

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