Math, asked by vaishnitha34, 2 months ago

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.

Answers

Answered by py5024131
2

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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