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Marat540 [252]
2 years ago
12

the lengh of a rectangle is 6cmgreater than the width. the area is 112cm^(2). find the lengh and the width

Mathematics
1 answer:
Nataly_w [17]2 years ago
6 0

Answer:

See below ~

Step-by-step explanation:

The length and width are <u>x + 6</u> and <u>x</u> respectively.

Equating to the area :

  • Area = length × width
  • 112 = (x +6)(x)
  • 112 = x² + 6x
  • x² + 6x - 112 = 0
  • x² + 14x - 8x - 112 = 0
  • x(x + 14) - 8(x + 14) = 0
  • (x - 8)(x + 14) = 0
  • x = 8, because distances are always positive

Dimensions :

  • Length = x + 6 = 8 + 6 = <u>14 mm</u>
  • Width = x = <u>8 mm</u>
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