SOLUTION: 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 th

Question 1021644: 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 245 square yards. The situation is modeled by the equation . Use the Quadratic Formula to find the height that will give the desired area. Round to the nearest hundredth of a yard.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
If the equation is correct, just solve for h. Maybe general form is factorable or maybe not.

The bases are lengths h+3 and h+7; so the average is , and the trapezoid area will be , since the area is given.

As already stated, either is or is not factorable. Since you are told use quadratic formula, ...

Simplify and choose what value makes sense.
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