akatamashhii akatamashhii
  • 20-01-2021
  • Mathematics
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The area of a rectangle is 480in^2 . the length is 4 more than the width. Find each measurement.

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briannademmi
briannademmi briannademmi
  • 20-01-2021

Answer:

width = 20 in

length = 24 in

Step-by-step explanation:

A = 480

L = 4 + w

w

A = L x w

A = (4 + w)w

A = 4w + [tex]w^{2}[/tex]

480 = 4w + [tex]w^{2}[/tex]

[tex]w^{2}[/tex] + 4w - 480 = 0

(w + 24)(w - 20) = 0

w = -24 or w = 20

length can't be negative, so w = 20

if w = 20,

L = 4 + w

L = 4 + 20

L = 24

Check:

A = L x w

A = 24 x 20

A = 480

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