The area of a trapezium is 105 cm² and its height is 7 cm. If one of the…
2019
The area of a trapezium is 105 cm² and its height is 7 cm. If one of the parallel sides is longer than the other by 6 cm, then the length of the longer side, in cm, is
- A.
18
- B.
16
- C.
15
- D.
12
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Correct answer: A
Area of a trapezium = 1/2 x (sum of parallel sides) x height. Let the shorter side be x cm, so the longer side is x + 6 cm. Then 105 = 1/2 x (2x + 6) x 7, so 2x + 6 = 30, x = 12 and the longer side is 18 cm.