Question

Ratio of two adjacent sides of a parallelogram is 3 : 4, and its perimeter is 112 cm. Find the length of its each side.

Answer 1

Let the two sides be 3x and 4x .
In a parallelogram the opposite sides are congruent.
So, the sides are 3x, 3x, 4x and 4x
Perimeter = 112 cm
$$\begin{gathered} 3x+3x+4x+4x=112 \\ \Rightarrow 14x=112 \\ \Rightarrow x=\frac{112}{14} \\ \Rightarrow x=8 \end{gathered}$$
So,
$$\begin{gathered} 3x=3\times 8=24\mathrm{cm} \\ 4\mathrm{x}=4\times 8=32\mathrm{cm} \end{gathered}$$
Thus, the sides are 24 cm, 32 cm, 24 cm and 32 cm.