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in Perimeter and Area of Plane Figures by (47.3k points)
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In Fig., l, m, n, are straight lines such that l || m and n intersects l at P and m at Q. ABCD is a quadrilateral such that its vertex A is on l. The vertices C and D are on m and AD || n. Show that ar (ABCQ) = ar (ABCDP)

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ar (APD) = ar (AQD) (1) [Have same base AD and also between same parallels AD and n]. 

Adding ar (ABCD) on both sides in (1), we get 

ar (APD) + ar (ABCD) = ar (AQD) + ar (ABCD) 

or ar (ABCDP) = ar (ABCQ)

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