Question

The perimeter of a parallelogram is 150 cm. One of its sides is greater than the other by 25 cm. Find the length of the sides of the parallelogram.

Answer 1

$$\begin{gathered} \mathrm{Opposite}\mathrm{sides}\mathrm{of}\mathrm{a}\mathrm{parallelogram}\mathrm{are}\mathrm{same}. \\ \mathrm{Le}t\mathrm{two}\mathrm{sides}\mathrm{of}the\mathrm{parallelogram}\mathrm{be}x\mathrm{and}y. \\ \mathrm{Given}: \\ x=y+25 \\ \mathrm{Also},x+y+x+y=150(Perimeter=Sumofallthesidesofaparalle\log ram) \\ y+25+y+y+25+y=150 \\ 4y=150-50 \\ 4y=100 \\ y=\frac{100}{4}=25 \\ \therefore x=y+25=25+25=50 \\ \mathrm{Thus},\mathrm{the}\mathrm{length}s\mathrm{of}\mathrm{the}\mathrm{sides}\mathrm{of}\mathrm{the}\mathrm{parallelogram}are50\mathrm{cm}\mathrm{and}25\mathrm{cm}. \end{gathered}$$