The diagonals of a trapezoid divide the trapezoid into four triangles. Let P_1, P_2, P_3, P_4 denote the areas of these triangles, as shown. Calculate the area of the trapezoid if: $P_{1}=5, P_{3}=45$

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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The diagonals of a trapezoid divide the trapezoid into four triangles. Let P_1, P_2, P_3, P_4 denote the areas of these triangles, as shown. Calculate the area of the trapezoid if:

$P_{1}=5, P_{3}=45$

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