c) The sides of a quadrilateral measure 9 cm, 40 cm, 28 cm, and 15 cm. The sides
measuring 9 cm and 40 cm make a right angle. Find the area of the quadrilateral.
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Answer:
ABCD be the quadrilateral
AB=64 cm
AD=48 cm
Angle BAD=90°
In triangle BAD,.
BD=✓{64^2+48^2=)=80 cm
Consider Triangle BCD drop a perpenducal COfrom C on Line BD,it will bisect line BD
CO=✓{50^2–40^2=30cm
Area of triangle BCD=1/2×80×30=1200 sq cm
Area of triangle BAD=1/2×64×48=1536 cm^2
Total area of quadrilateral ABCD=1200+1536=2736 cm^2
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