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Geometry

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Moderate

Pythagorean Theorem: Application/Acreage Conversion

GEOM-XPVNAL

Mr. Stone, a residual planner, has a right triangular parcel of land in a developing subdivision. He has misplaced the measurements of the lot perimeter, but he recalls that the longest side of the triangle is 850 feet and another side is 750 feet. He is searching for the missing measurement when he remembers a formula learned in geometry that will supply the missing length of the third side.

After recalling and applying the aforementioned formula, knowing that an acre of land is equivalent to 43,560 square feet, and calculating the current market value of $4500 per acre, Mr. Stone determines the market value for the property. (Round acreage to the nearest hundredth.)