# Bases

The length of the bases trapezium are in ratio 4:5. Length of midline is 15. How long are the bases of a trapezoid?

Result

x =  13.33
y =  16.67

#### Solution:

$x/y = 4/5 \ \\ (x+y)/2 = 15$

(x+y)/2 = 15
5 x = 4 y

x+y = 30
5x-4y = 0

x = 403 ≈ 13.333333
y = 503 ≈ 16.666667

Calculated by our linear equations calculator.
$y=2 \cdot \ 15-4 \cdot \ 2 \cdot \ 15/(4+5)=16.67$

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