sussyfeetsniffer6942 sussyfeetsniffer6942
  • 11-03-2022
  • Mathematics
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The area of a rectangular school yard is 3,195 square meters. The perimeter is 232 meters. What are the dimensions of the school yard?

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zsm2800 zsm2800
  • 11-03-2022

Answer:

71 m x 45 m

Step-by-step explanation:

Length = x, Width = y

x * y = 3,195

2(x + y) = 232, so

x + y = 232/2 = 116, they y = 116 - x

x * (116 - x) = 3,195

116x - x² = 3,195

x² - 116x +[tex]x = \frac{116\pm\sqrt{116^2-4*3195}}{2}[/tex] = 71,    45

so x = 71, y = 45

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