The parallel sides of a trapezium differ by 4 cm. Its height is 8 cm and the area is 192 cm². What are the lengths of the parallel sides?
Show answer & explanation
Correct answer: C
Explanation
Parallel sides = x, x + 4
Area = 192 sq cm
Height = 8 cm
Area of a trapezium = (1/2) × (sum of parallel sides) × height
192 = (1/2) × (x + x + 4) × 8
192 = 4 × (2x + 4)
192 = 8x + 16
8x = 176
x = 22
Other side = 22 + 4 = 26
Lengths of parallel sides = 22 cm and 26 cm