Final answer:
To find the area of the end of the rain gutter, we use the formula for the area of a trapezoid: (1/2) * (a + b) * h. Plugging in the given values, the area is 30 in².
Step-by-step explanation:
To find the area of the end of the rain gutter, we need to find the area of the trapezoid. The formula for the area of a trapezoid is (1/2) * (a + b) * h, where a and b are the lengths of the parallel sides and h is the height. In this case, the parallel sides are 5 in and 10 in, and the height is 4 in. Plugging in these values into the formula gives us:
Area = (1/2) * (5 + 10) * 4 = 7.5 * 4 = 30 in²
Therefore, the area of the end of the rain gutter is 30 in².