Rectangle - sides ratio

Calculate the area of a rectangle whose sides are in ratio 3:13 and perimeter is 673.

Correct answer:

S =  17250.2

Step-by-step explanation:

$$\begin{gathered} a\mathrm{/}b=3\mathrm{/}13 \\ a=0.231\cdot b \\ 673=2(a+b) \\ 673=2(0.231b+b) \\ 673=2.462\cdot b \\ b=273.41 \\ a=0.231\cdot b=63.09 \\ S=a\cdot b=63.09\cdot 273.41\doteq 17250.2 \end{gathered}$$

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