Find the area of a parallelogram with bottom and top sides of 7 inches and right and left sides of 4 inches? The height is unknown.
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in ∆DEA,
AE²+AD²=ED²(Pythagoras theorem)(AE Perpendicular to AB)
AE =1/2 AB
=1/2(7)
3.5 inch
ED²=4²+3.5²
16+12.25= 28.25
ED =✓28.25
5✓113 inches.(h)
area of parallelogram ABCD = b*h
4*5✓113=20✓113 inch²
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Answer:
129 inches
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