The area of a trapezium is 180 cm2 and its height is 9 cm. If one of the parallel sides is longer than the other by 6 cm, find the two parallel sides.

Given


Let length of first parallel side X


Length of other parallel side is X + 6


Area of trapezium= 180 cm2


Let Height (h) =9 cm


We know that area of trapezium is × (sum of parallel sides) × height


Therefore Area of trapezium is × (X + 6 +X) × 9 =180 cm2.


× (X + 6 +X) × 9 =180


⇒ × (2X + 6) × 9 =180


⇒ 2X + 6 =


⇒ 2X + 6 = 40


⇒2X = 40 – 6 =34


⇒X = 17


... Length of the parallel sides is X=17 cm and X + 6 = 17 + 6 = 23 cm.


Therefore lengths of the parallel sides are 17 cm, 23 cm.


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