Question

The ratio of two sides of a parallelogram is $3:4$. If its perimeter is $112$ cm, find the length of the smallest sides of that parallelogram

Answer 1

If the two sides have a ratio of $3:4$ that means their sides can be represented as $3x$ and $4x$.

$\Rightarrow$ Perimeter of parallelogram $=2\left(3x\right)+2\left(4x\right)$

$\Rightarrow$ $112=6x+8x$

$\Rightarrow$ $112=14x$

$\Rightarrow$ $x=8cm$

The length of the sides are,

$\Rightarrow$ $3x=3\times 8cm=24cm$

$\Rightarrow$ $4x=4\times 8cm=32cm$

$\therefore$ The length of the smallest sides of the parallelogram is $24cm$