The parallel sides of a Trapezium are in the ratio 3:4 if the distance between the parallel side is 9 dm and its area is 126 dm square find the length of its parallel sides
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Let ratio be x
So, 3aand 4a
Area of trapezium =1/2xsum of parallel sides x height,
So, 126=1/2x9x(3a+4a),
126=1/2x9x 7a,
126x2/9x7=a,
252/63=a,
28=a,
So,3a=3x28=84cm and
4a=4x28=112cm
So length of parallel sides are 84cm and 112cm
So, 3aand 4a
Area of trapezium =1/2xsum of parallel sides x height,
So, 126=1/2x9x(3a+4a),
126=1/2x9x 7a,
126x2/9x7=a,
252/63=a,
28=a,
So,3a=3x28=84cm and
4a=4x28=112cm
So length of parallel sides are 84cm and 112cm
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