A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards greater than the height and the longer base to be 7 yards greater than the height. She wants the area to be 225 square yards. The situation is modeled by the equation h^2 + 5h = 225. Use the Quadratic Formula to find the height that will give the desired area. Round to the nearest hundredth of a yard.
a.
460 yards
b.
15.21 yards
c.
25.41 yards
d.
12.71 yards
Algebra 2 help plz?
h^2 + 5h = 225
h^2 + 5h - 225 = 0
h = ( - 5 +/- sqrt(5^2 + 4 * 1 * 225) ) / 2
As h needs to be +ve, use the + sign.
h = ( - 5 + sqrt(925) ) / 2
= 12.71 yd.
Answer (d).
Hiking Shoes
Friday, February 3, 2012
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