# ISO trapezoid v2

bases of Isosceles trapezoid measured 12 cm and 5 cm and its perimeter is 21 cm. What is the are of a trapezoid?

Result

S =  NAN cm2

#### Solution:

$21 = a+b+2c \ \\ c = (21-12-5)/2 = 2 \ cm \ \\ h^2 = c^2 - ((a-b)/2)^2 \ \\ h = \sqrt{ 2^2 - 3.5^2 } = NAN \ cm \ \\ \ \\ S = \dfrac{a+b}{2} h = \dfrac{ 12+5}{2} \cdot NAN = NAN \ cm^2$

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