The sides of a quadrilateral are in the ratio 2 : 3 : 4 : 5 and its perimeter is 658 cm. Find the length of the smallest side (in cm).
94
94 is correct.
When sides are in a given ratio, each side is a multiple of a common factor and the sides together make up the perimeter.
Let the sides be \(2k, 3k, 4k\) and \(5k\). Their sum is the perimeter: \(2k+3k+4k+5k=14k=658\).
So \(k=\dfrac{658}{14}=47\).
The smallest side is \(2k=2\times 47=94\) cm.
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