Question

the perimeter of a trapezium is 104m, it's non parallel sides are 18 m and 22m, and it's altitude 16m. Find the area of trapezium.

Answer 1

$area \: of \: trapezium \: = \frac{1}{2} h(a + b) \: where \\ \: h = altitude \\ a \: and \: b \: = length \: of \: parallel \: sides \\ \\ therefore \: a(trap) = \frac{1}{2} \times 16 \times (18 + 22) \\ \\ = 8 \times 40 = 320 \: {cm}^{2}$