Question

A school's physical education department plans to construct a rectangular soccer field with a perimeterof 250 yards and an area of 3,600 square yards. The department can determine the needed dimensionsof the field, in yards, by calculating the zeroes of the quadratic expression below.250-232Which expression is equivalent to the above expression and BEST reveals the needed dimensions of thesoccer field in yards?x (250–24) – 3,600A-(x - 48)(x - 75)B-2x2 + 125x - 3,600-(x - 45)(x - 80)D--x2 + 250x - 3,600

Answer 1

A school's physical education department plans to construct a rectangular soccer field with a perimeter of 250 yards and an area of 3,600 square yards. The department can determine the needed dimensions

of the field, in yards, by calculating the zeroes of the quadratic expression below.

`x\text{ }((250-2x))/(2)-3600`

`x\text{ }((250-2x))/(2)-3600\text{ = 125x -x}^2\text{-3600}`

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2 Which expression is equivalent to the above expression and BEST reveals the needed dimensions of the soccer field in yards?

A. -(x - 48)(x - 75) = -x^2 +75x +48x - 3510 (False)

B. -2x^2 + 125x - 3,600 (False )

C. -(x - 45)(x - 80) = -x^2 + 80x + 45 x - 3600 = -x^2 + 125x -3600 (This is the correct answer)

D. -x2 + 250x - 3,600 (False)

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Answer option C