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A right triangular park, ABC, is surrounded on three sides by square-shaped buildings X, Y, and Z, as shown below. A right angle triangle ABC is labeled as park. The measure of angle ABC is 90 degrees. There are three squares labeled X, Y, and Z on the sides of the triangle. Square X is on the side BC. Square Y is on the side AC and square Z is on side AB. If the area of building X is 144 square meters and the area of building Z is 1,225 square meters, what is the area of building Y
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\[35^2+12^2=1369 \text{ ft}^2\]
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