Question

A(−4, 2), B(3, 2), C(3, −5), and D(−4, −2)

Calculate the area of the polygon.

28 units squared
38.5 units squared
40.5 units squared
49 units squared

Answer 1

If we let the width 3--4=7 be the height of a trapezoid, the the bases will be the heights, delta y, on each side...

b1=2--2=4, b2=2--5=7

Since the area of a trapezoid is:

A=h(b1+b2)/2 we have:

A=7(4+7)/2

A=38.5 u^2