# Parallelogram

Rhomboid (parallelogram) has a longer side of 50 cm long. The size of its one height is four times the size of its second height. Calculate the length of the shorter side of this rhomboid in the centimeters.

Correct result:

b =  12.5 cm

#### Solution:

$a=50 \ \text{cm} \ \\ S=a h=b f \ \\ f=4h \ \\ ah=b 4h \ \\ a=b 4 \ \\ \ \\ b=a/4=50/4=\dfrac{ 25 }{ 2 }=12.5 \ \text{cm}$

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