a diagonal of a quadrilateral is 16m. The off-sets are 6m and 8m
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A diagonal of a quadrilateral is 16m. The offsets are 6m and 8m. What is the area of the quadrilateral?
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Answer:
Offsets are perpendiculars from opposite vertex to diagonal.
Here AM & CN are perpendiculars on diagonal BD.
Area of quadrilateral ABCD=area of ΔABD + area of Δ BCD
= ½ ×AM×BD + ½ × CN×BD
=1/2× 6×16 + 1/2×8 × 16
= 48+64
=112 m²
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