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In trapezoid PQRS, Base PQ is parallel to base RS. Let point X  be the intersection of diagonals PR and QS. The area of triangle PQX is 20 and the area of triangle RSX is 45 Find the area of trapezoid PQRS

 Aug 22, 2020
 #1
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The area of trapezoid PQRS is 120.

 Aug 22, 2020
 #2
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I already know that's wrong.

 Aug 22, 2020
 #3
avatar+1421 
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In trapezoid PQRS, Base PQ is parallel to base RS. Let point X  be the intersection of diagonals PR and QS. The area of triangle PQX is 20 and the area of triangle RSX is 45 Find the area of trapezoid PQRS.

 

Since the type of trapezoid is not given, we may use isosceles trapezoid.

 

Bases are 10 and 18, and the height is 9. smiley

 Aug 22, 2020

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