crystalsierradr crystalsierradr
  • 17-03-2020
  • Mathematics
contestada

The height of a box is 5 inches. It’s length is 5 inches more than it’s width. Find the length if the volume is 120.

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aashnaw467 aashnaw467
  • 17-03-2020

Answer:

8 Inches

Step-by-step explanation:

The length would be w+5, making your equation (5)(w+5)(w)=120, which can be simplified to 5w²+25w-120=0. Then take out a GCF of 5, giving you 5(w²+5w-24)=0. Find the factors and get (w+8)(w-3). Your solutions are -8 and 3. -8 can be taken out, so the final answer is 3. Then you plug it back into the length, so 3+5 is 8.

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