Question

The ratio of two sides of a parallelogram is $3:4$ and its perimeter is $42cm$. Find the measures of all sides of the parallelogram.

Answer 1

Let the sides be $3x$ and $4x$.

Then the perimeter of the parallelogram is $2(3x+4x)=2\times 7x=14x$.

The given data implies that $42=14x$ $\Rightarrow$ $x=42/14=3$.

Hence the sides of the parallelogram are $3\times 3=9cm$ and $3\times 4=12cm$.