The midline of a rectangular trapezoid is 18, and the radius of the inscribed circle is 2. Find the area of the trapezoid.
| September 18, 2021 | education
The area of a rectangular trapezoid is equal to the product of the midline m and the height h of the trapezoid.
The middle line is known, and the height is equal to the diameter of the inscribed circle h = d = 2r.
Find the area of the trapezoid:
S = hm = 2rm = 2 * 2 * 18 = 72 cm2.
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