Question

What is the area of the trapezoid?

Answer 1

The area is 165 unit square

Answer 2

Area of trapezoid:

A = 1/2(b1+b2)h

where

b1 = 30,

b2 = 28+12 = 40

Triangle FOG

a^2 = c^2 - b^2

a^2 = 13^2 - 12^2

a^2 = 169 - 144

a^2 = 25

a = √25

a = 5

FO = 5 so height h = FO = 5

Now you can find the Area of trapezoid

A = 1/2(b1+b2)h

A = 1/2(30 + 40) (5)

A = 1/2(70)(5)

A = 175

Answer

175 square units