The area of a quadrilateral is 220 sq m. The diagonal is 22 m and one of the perpendiculars from the opposite vertex to the diagonal is 8 m. Find the length of the other perpendicular from the other opposite vertex to the same diagonal
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hope it will help you
35sq/2
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Step-by-step explanation:
Area of given Quadrilateral= 220 sq.m
Length of one diagonal= 22m
Opposite vertex to the diagonal= 8m
So,
Area of a quadrilateral= 1/2x diagonal x sum of the offsets
220= 1/2x22(8+z)
220=11(8+z)
8+z= 220/11
8+z=20
z= 20-8
z=12m
Hence, the other perpendicular from the opposite vertex to the same diagonal is 12m..
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