Find the area of an isosceles trapezoid with bases equal to 30 cm and 6 cm and a side equal to 20 cm.

univerkov | January 18, 2021 | education

1. Trapezium AВСD – isosceles. BC = 6 centimeters. BP = 30 centimeters. AB = 20 centimeters. ВK – height. S is the area of the trapezoid.

2. In accordance with the properties of an isosceles trapezoid, the length of the AK segment can be calculated

according to the formula:

AK = (AD – AB) / 2 = (30 – 6) / 2 = 24: 2 = 12 centimeters.

3. ВK = √AB² – AK² = √20² – 12² = √256 = 16 centimeters.

4. S = AD x BE = 30 x 16 = 480 centimeters².

Answer: S is equal to 480 centimeters².

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