kayejones610 kayejones610
  • 14-05-2021
  • Mathematics
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A rectangular rug has an area of 84 square feet. If the length is 8 feet more than the width, find the dimensions of the rug.​

Respuesta :

shallen
shallen shallen
  • 14-05-2021

Answer:

w=6

l=14

Step-by-step explanation:

Area of rectangle = l*w

So:

[tex]w*(w+8)=84[/tex]

Then, just find w, and w+8.

[tex]w^2+8w=84\\w^2+8w-84=0\\(w-6)(w+14)=0\\w-6=0, w=6\\w+14=0, w=-14[/tex]

Length cannot be negative, so the width is 6.

Length = width + 8 = 6+8=14

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