Question

ABCD is a trapezoid ab=13 cd=14 bc=5 ad=20 find the are of the trapezoid

Answer 1

140

Explanation:

x² + y² = 13²

(15 - x)² + y² = 14²

x² + y² = 169

225 - 30x + x² + y² = 196

x² + y² = 169

-30x + x² + y² = -29

-30x = -198

x = 6.6

6.6² + y² = 169

y² = 125.44

y = 11.2

A = (1/2)(B + b)h

A = (1/2)(20 + 5)(11.2)

A = 140