Find the area of a rectangular trapezoid, the bases of which are equal to 9 and 13, the large side side makes

Find the area of a rectangular trapezoid, the bases of which are equal to 9 and 13, the large side side makes an angle of 45 degrees with the base.

1. Consider a rectangular trapezoid ABCD. From corner C, we lower the CO height. The larger base will split into two segments AO and OD. AO = BC = 9 centimeters. OD = AD – AO = 13 – 9 = 4 centimeters. Height CO = OD = 4 centimeters.

2. Calculate the area of the trapezoid using the formula S = (a + b) / 2 * h.

(9 + 13) / 2 * 4 = 44 cm².

Answer: 44 square centimeters.