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?

Correct result:

x =  13.33
y =  16.67

Solution:

$$\begin{gathered} x\mathrm{/}y=4\mathrm{/}5 \\ (x+y)\mathrm{/}2=15 \end{gathered}$$

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

(x+y)/2 = 15
5•x = 4•y

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

x = 40/3 ≈ 13.333333
y = 50/3 ≈ 16.666667

Our linear equations calculator calculates it.

$y=2\cdot 15-4\cdot 2\cdot 15\mathrm{/}(4+5)=16.67$

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