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# In trapezoid PQRS, . Let X be the intersection of diagonals and ​. The area of triangle PQX is 20, and the area of triangle RSX is 45.

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In trapezoid PQRS, $$\overline{PQ} \parallel \overline{RS}$$. Let X be the intersection of diagonals $$\overline{PR}$$ and $$\overline{QS}$$. The area of triangle PQX is 20, and the area of triangle RSX is 45. Find the area of trapezoid PQRS.

Mar 8, 2020

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This is the diagram/image

Mar 8, 2020
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The area of trapezoid PQRS is 160.

Mar 8, 2020