## Definition: a quadrilateral with one set of parallel sides Example: a=1/2(b1+b2)h

### The given equation, a=1/2(b1+b2)h, represents the formula to calculate the area (a) of a trapezoid

The given equation, a=1/2(b1+b2)h, represents the formula to calculate the area (a) of a trapezoid. A trapezoid is a type of quadrilateral that has one pair of parallel sides.

In the formula, b1 and b2 represent the lengths of the two parallel sides of the trapezoid, and h represents the height. The height is the perpendicular distance between the two parallel sides.

To use this formula, you need to know the lengths of the two parallel sides and the height. Once you have those values, you can substitute them into the formula and calculate the area of the trapezoid.

For example, let’s say we have a trapezoid with parallel sides of length b1 = 6 units and b2 = 10 units, and a height of h = 4 units. We can substitute these values into the formula:

a = 1/2(6 + 10)(4)

= 1/2(16)(4)

= 8 * 4

= 32 square units

So, the area of the given trapezoid is 32 square units.

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