Question

find the area of trapezium whose parallel sides are 52cm and 27 cm and non parallel sides are 25cm and 30cm.

Answer 1

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Here area of trapezium = Area of parallelogram + area of triangle
area of triangle= √S(S-a)(S-b)(S-c)
s=(25+25+30)/2
=80/2=40
√40(40-25)(40-25)(40-30)=√40×15×15×10
=2×10×15=300cm²
Also area of triangle = (1/2) × base × height
1/2×25×h=300
h=(300×2)/25
h=24cm
Now,
Area of parallelogram = base × height
=27×24
=648cm²

Hence area of trapezium = 648+300=948cm².


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