# Rectangle - sides ratio

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

Correct result:

S =  17250.2

#### Solution:

$\ \\ a/b = 3/13 \ \\ a = 0.231 \cdot b \ \\ \ \\ 673 = 2(a+b) \ \\ 673 = 2(0.231 b + b) \ \\ 673 = 2.462 \cdot b \ \\ b = 273.41 \ \\ a = 0.231 \cdot b = 63.09 \ \\ \ \\ S = a \cdot b = 63.09 \cdot 273.41 \doteq 17250.2$

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