A trapezium has one parallel side double the other. The height is 10 cm, and the area is 900 cm². Find the lengths of the parallel sides.
Show answer & explanation
Correct answer: D
Explanation
Given:
Height = 10 cm
Area = 900 cm²
One side = Twice the other
According to the formula:
Area = 1/2 × (a + b) × h
Let the shorter side = x, and the longer side = 2x
⇒ 900 = 1/2 × (x + 2x) × 10
⇒ 900 = 1/2 × 3x × 10
⇒ 900 = 15x
⇒ x = 60
⇒ Shorter side = 60 cm
⇒ Longer side = 120 cm
60 cm and 120 cm