ABCD trapezoid, AD = 15 m, BC = 12 m, diagonal BD was drawn, area of triangle ABD was 30 m2. Need to find the area of a trapezoid?
| January 15, 2021 | education
From the top B of the trapezoid, we will draw the height ВН to the base of the AD. By condition, the area of the AВD triangle is 30 m2.
Savd = AD * ВН / 2.
30 = 15 * ВН / 2.
BH = 2 * 30/15 = 4 m.
Determine the area of the trapezoid.
Savsd = (ВС + AD) * ВН / 2 = (12 + 15) * 4/2 = 54 m2.
Answer: The area of the trapezoid is 54 m2.
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