# Rhumbline

Find circumference and area of the rhumbline ABCD if the short side AD of which has a length of 5 cm, and the heel of the height from D leading to the AB side divides the AB side into two sections of 3 cm and 4 cm.

Result

o =  24 cm
S =  28 cm2

#### Solution:

$d=5 \ \\ a_{1}=3 \ \\ a_{2}=4 \ \\ a=a_{1}+a_{2}=3+4=7 \ \\ o=2 \cdot \ (a+d)=2 \cdot \ (7+5)=24 \ \text{cm}$
$v=\sqrt{ d^2-a_{1}^2 }=\sqrt{ 5^2-3^2 }=4 \ \\ S=a \cdot \ v=7 \cdot \ 4=28 \ \text{cm}^2$

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