A university is planning to build a new trapezoidal parking lot adjacent to an existing building using the building as one of the parking lot's sides. The university has 300 ft 300~\text{ft} of fencing material. To maximize the parking area, what should be the dimensions x x and y y ? Round the answer to two decimal places if necessary.

x = 150 ft x=150~\text{ft} x = 150 ft y ≈ 31.70 ft y\approx31.70~\text{ft} y ≈ 31.70 ft

x = 125 ft x=125~\text{ft} y ≈ 51.42 ft y\approx51.42~\text{ft}

x ≈ 31.70 ft x\approx31.70~\text{ft} y = 150 ft y=150~\text{ft}

x ≈ 51.42 ft x\approx51.42~\text{ft} y = 125 ft y=125~\text{ft}

A university is planning to build a new trapezoidal parking lot a...

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