# Area of a trapezoid

The trapezoid has one pair of parallel opposite sides called the bases *b _{1}* and

*b*. The height

_{2}*h*of the trapezoid is perpendicular distance between these bases.

**Formula to find area of a trapezoid**

Area of a trapezoid = $\left [ \frac{\left ( b_1 + b_2\right )}{2} \right ] \times h$

where *h* is the height and *b _{1}* and

*b*are the bases.

_{2}We multiply the average of the bases of the trapezoid with the height of the trapezoid to get its area.

Find the area of the following trapezoid.

### Solution

**Step 1:**

Area of Trapezoid = $\frac{1}{2}$ × h × (b1 + b2); b1, b2 = bases = 3, 4.5; h = height = 5.

**Step 2:**

Area of trapezoid = $\frac{1}{2}$ × 5 × (3 + 4.5) = 18.75 square in

Find the area of the following trapezoid.

### Solution

**Step 1:**

Area of Trapezoid = $\frac{1}{2}$ × h × (b1 + b2); b1, b2 = bases = 5, 8; h = height = 4.4.

**Step 2:**

Area of trapezoid = $\frac{1}{2}$ × 4.4 × (5 + 8) = 28.6 square in