The problem asks to find the area of a trapezoid given the lengths of its two parallel sides (bases) and its height. The lengths of the two parallel sides are 7 m and 6 m, and the height is 13 m.

1. Problem Description

The problem asks to find the area of a trapezoid given the lengths of its two parallel sides (bases) and its height. The lengths of the two parallel sides are 7 m and 6 m, and the height is 13 m.

2. Solution Steps

The formula for the area of a trapezoid is:

$Area = \frac{1}{2} \times (base1 + base2) \times height$

In this case, $base1 = 7$ m, $base2 = 6$ m, and $height = 13$ m.

Substituting these values into the formula, we have:

$Area = \frac{1}{2} \times (7 + 6) \times 13$

$Area = \frac{1}{2} \times (13) \times 13$

$Area = \frac{1}{2} \times 169$

$Area = 84.5$

The area is measured in square meters ($m^2$).

3. Final Answer

84.5 $m^2$