Question

How do you find the area of a trapezoid with vertices (-7,1) (-4,4) (-4,-6) and (-7,-3)?

Answer 1

21

Explanation:

Basis: `x = -4, Delta y = 4 - (-6) = 10 = B`

basis: `x = -7, Delta y = 1 - (-3) = 4 = b`

height = dist(Basis, basis) = `|-7 + 4| = 3 = h`

Area = `1/2 (B + b) h = 1/2 cdot 14 cdot 3`