11. The lengths of the parallel sides of a trapezium are in the ratio 4:7. If the height
of trapezium is 14 m and its area is 385 sq. m, find the length of its parallel sides.
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11. The lengths of the parallel sides of a trapezium are in the ratio 4:7. If the height
of trapezium is 14 m and its area is 385 sq. m, find the length of its parallel sides.
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Step-by-step explanation:
REF.Image
Let the parallel sides of trapezium be 4x and 7x
Height =DE=14 m (given)
Area =385 m
2
(given)
Area of trapazium =
2
1
(AB+CD)×DE
⇒385=
2
1
(7x+4x)×14
⇒11×7x=385
⇒x=5 m
∴ the sides are 4x=4×5=20 m
7x=7×5=35 m
solution