jesseniamedina96 jesseniamedina96
  • 18-03-2022
  • Mathematics
contestada

a rectangular parking lot that is 3 feet longer that is wide has an area of 550 square feet how many feet long is the parking lot?

Respuesta :

Paounn
Paounn Paounn
  • 18-03-2022

Answer:

The parking lot is 25 feet long and 22 feet wide

Step-by-step explanation:

Let's say the rectangle is [tex]x[/tex] feet long. It means it has to be [tex]x+3[/tex] feet wide.

Knowing it's area we can write an equation for the unknown:

[tex]x(x+3) = 550\\x^2+3x-550 = 0\\x= \frac12(-3\pm\sqrt{2209})\\x_1=-25: x_2=22[/tex]

Since we're talking about measures of length, the negative answer is obviously not interesting, so we're left with [tex]x=22[/tex]

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