A traoezoid has basses of 36 1/2 noches and 13 1/2 noches and a height of 10 1/2 inches. What is the área of the trapezoid in square inches?​

Area of trapezoid = 262.5 inches²

Step-by-step explanation:

Given:

Larger Base = inches = 36.5 inches

Smaller Base = inches = 13.5 inches

Height of trapezoid =   inches = 10.5 inches

Find:

Area of trapezoid

Computation:

Area of trapezoid = [Sum of parallel line / 2]Height

Area of trapezoid = [(a+b) / 2]h

Area of trapezoid = [(36.5 + 13.5) / 2]10.5

Area of trapezoid = [(50) / 2]10.5

Area of trapezoid = [25]10.5

Area of trapezoid = 262.5 inches²

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.