Question

On a boat, a cabin's window is in the shape of an isosceles trapezoid, as shown below. What is the area of the window?

156 square inches
182 square inches
208 square inches
364 square inches

Answer 1

182 square inches

Explanation:

The eqation for the area of a trapezoid is A=((a+b)/2)h. First, a and b are the top and bottom lengths. Because the trapezoid is isosceles, we can assume that on the other side of the trapezoid, the little part is also 2. Making the bottom length 2 + 2 + 12 = 16. So the first part of the equation: (16 + 12)/2 = 14. Then you multiply it by h, aka, height. 14 * 13 = 182.