Question

The perimeter of a rectangle is 134cm. if its length is 3 cm more than its breadth, find the length and breadth of the rectangle.

Answer 1

Dear student
$$\begin{gathered} \mathrm{Given}:\mathrm{Perimeter}\mathrm{of}\mathrm{rectangle}=134\mathrm{cm} \\ \mathrm{Let}\mathrm{breadth}\mathrm{of}\mathrm{rectangle}=\mathrm{b}\mathrm{cm} \\ \mathrm{So},\mathrm{length}\left(\mathrm{l}\right)\mathrm{of}\mathrm{rectangle}=\mathrm{b}+3 \\ \mathrm{We}\mathrm{know}\mathrm{that}\mathrm{Perimeter}\mathrm{of}\mathrm{rectangle}=2\left(\mathrm{l}+\mathrm{b}\right) \\ 134=2\left(\mathrm{b}+3+\mathrm{b}\right) \\ 134=2\left(2\mathrm{b}+3\right) \\ 67=2\mathrm{b}+3 \\ 2\mathrm{b}=64 \\ \mathrm{b}=32\mathrm{cm} \\ \mathrm{So},\mathrm{l}=\mathrm{b}+3=32+3=35\mathrm{cm} \end{gathered}$$
Regards