anilys
anilys anilys
  • 15-07-2022
  • Mathematics
contestada

i need help on this question for algebra

i need help on this question for algebra class=

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 15-07-2022

Answer:

36 miles and 10 miles

Step-by-step explanation:

area = length × width

A = LW

W = unknown = x

L = 26 ft more than width = x + 26

A = LW

360 = (x + 26)x

360 = x² + 26x

x² + 26x - 360 = 0

(x + 36)(x - 10) = 0

x + 36 = 0  or  x - 10 = 0

x = -36 or x = 10

We discard the solution x = -36 since the width of a rectangle cannot be a negative number.

W = x = 10

L = x + 26 = 10 + 26 = 36

Answer: 36 miles and 10 miles

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