In an isosceles trapezoid, the height drawn from the top of an obtuse angle divides the larger base into two

In an isosceles trapezoid, the height drawn from the top of an obtuse angle divides the larger base into two segments, the larger of which is 18 cm.Find the area of the trapezoid if its height is 12 cm.

To find the area of the trapezoid, use the formula:
S = (a + b) / * h, where a and b are the bases of the trapezoid, h is the height.
We denote the smaller segment of the larger base – x, then the bases of the trapezoid take the form:
more – (18 + x),
the smaller is (18 – x).
Substitute in the area formula and get:
S = ((18 + x) + (18 -x)) / 2 * 12 = 36/2 * 12 = 216 cm².
Answer: 216 cm².