Find the area of a trapezoid with bases of 5 and 9 and the length of the leg is 4 units. The angle measure is 60◦.

Step 1. Please don't make the mistake of using the side length as your height.

The height in this trapezoid creates a 30 60 90 triangle. The height becomes the long leg of a 30 60 90 triangle.

Step 3. Plug the height into the area formula of a trapezoid 1/2h (b1 + b2)

1/2*2√3 ( 5+9)

Step 4. ½ * 2√3 ( 14) = ½ 28√3

Step 5. 14√3 = units squared equals the area of the trapezoid

Find the area of a trapezoid with a height of 10 units, a base of 12 units and a base of 16 units.

Step 1. Plug in 12 and 16 for b1 and b2 and 10 for the height.

½ 10 (12 + 16)

Step 2. ½ (10 * 28)

Step 3. ½(280) = 140 units

A trapezoid is a four sided polygon with one pair of parallel sides. Area is a measure of the number of square units found inside the trapezoid. Area is a two dimensional measure so it is always squared. The height of the trapezoid is perpendicular to the two parallel bases. One common mistake made when calculating the area of a trapezoid is to use the side length as the height. Again, the height is measured as a line perpendicular to the two parallel bases.

The area of a trapezoid may be found using the formula 1/2h(b1+b2)

b1

b2

Formula for the area of a trapezoid equals 1/2h (b1+b2)