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# proportion and similarity

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Segments $\overline{CD}$ and $\overline{AB}$ are parallel. If $CD=2,AB=5,$ and $[CDP]=4,$ find $[ABCD].$

Jan 24, 2021

#1
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Let M and N be the midpoints on CD and AB.

MP = 8 / 2 = 4

PN = 4 * AN = 10

Height  H = 14

[ABCD] = (AB + CD)/2 * H = 49 square units

Jan 25, 2021
edited by Guest  Jan 25, 2021