Sunnyshinest
Sunnyshinest Sunnyshinest
  • 19-04-2021
  • Mathematics
contestada

A rectangle is 4 miles longer than it is
wide. Find the dimensions of the
rectangle if its area is 221 sq-miles.

A rectangle is 4 miles longer than it is wide Find the dimensions of the rectangle if its area is 221 sqmiles class=

Respuesta :

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ggggggggftt ggggggggftt
  • 19-04-2021

Answer:

1283 miklis

Step-by-step explanation:

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EMEGroup
EMEGroup EMEGroup
  • 20-04-2021

Answer:

The lenght is 17 miles

The wide is 13 miles

Let / l : the lenght of the rectangle

w : the wide of the rectangle

Step-by-step explanation:

[tex]a = l \times w \\ 221 = (w + 4) \times w \\ 221= w^{2} + 4w \\ {w}^{2} + 4w - 221 = 0 \\ (w + 17)(w - 13) = 0 \\ either \: w + 17 = 0 \\ so \: w = - 17 \: mile \: \: \: \: neglect \\ or \: w - 13 = 0 \\ so \: w = 13 \\ l = w + 4 \\ l = 13 + 4 = 17 \: mile[/tex]

I hope that is useful for you

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