Trapezoid

Area of trapezoid is 135 cm2. Sides a, c and height h are in a ratio 6:4:3. How long are a,c and h? Make calculation...

Result

a =  18 cm
c =  12 cm
h =  9 cm

Solution:

$a:c:h = 6:4:3 \ \\ 135 = (a+c)h/2 = (6x+4x)3x/2 \ \\ 135 = (6x+4x)3x/2 \ \\ 270 = 10x \cdot 3x \ \\ 270 = 30x^2 \ \\ x^2 = 9 \ \\ x = \sqrt{9} = 3 \ cm \ \\ \ \\ a = 6x = 18 \ \text{cm}$
$c = 4x = 12 \ \text{cm}$
$h = 3x = 9 \ \text{cm}$

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