The bases of the trapezoid are 15 and 36 cm and its sides are 13 and 20 cm, find the area of the trapezoid.
| April 30, 2021 | education
We know the four sides of the trapezoid. In order to calculate the area of a trapezoid, we use the formula S = (a + b) ÷ 2 * √ (c² – ((b – a) ² + c² – d²) ÷ 2 * (b – a)) ².
Where a is a smaller base, b is a larger base, c is a large side, d is a smaller
S = 25.5 cm * √ (400 cm² – ((441 cm² + 400 cm² – 169 cm²) ÷ 42 cm) ²).
S = 25.5 cm * √ ((400 cm² – 441 cm² + 400 cm² – 169 cm²) ÷ 42 cm) ².
S = 25.5 cm * √ (400 cm² – 256 cm²) = 25.5 cm * 12 cm² = 306 cm².
Answer: the area of the trapezoid is 306 cm².
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