A landscaper is designing a flower garden in the shape of a trapezoid. she want to make to shorter base 3 yards greater than the height and the longer base 7 yards greater than the base. she wants the area 295 square yards. the situation is modeled by the equation h^2+5h=295. use the quadratic formula to find the height that will give the desired area

Question

Mathematics

Ivan Houston

30 April, 03:43

A landscaper is designing a flower garden in the shape of a trapezoid. she want to make to shorter base 3 yards greater than the height and the longer base 7 yards greater than the base. she wants the area 295 square yards. the situation is modeled by the equation h^2+5h=295. use the quadratic formula to find the height that will give the desired area

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Curtis Robbins · Answer 1

Put you formula in this way: ax^2+bx+c=0 this is h^2+5h-295=0

Now solve with the second grade equation

a=1, b=5, c=-295

you will get h=14.86 and h=-19.86, you can not have negative numbers so the only answer is 14.86