Question

The length of a rectangle exceeds the width by 15 cm. the perimeter of rectangle is 150 cm. find the Length and width of the rectangle.

Answer 1

Dear student
$$\begin{gathered} \mathrm{Given}:\mathrm{Perimeter}\mathrm{of}\mathrm{rectangle}=150\mathrm{cm} \\ \mathrm{Let}\mathrm{width}\mathrm{of}\mathrm{rectangle}=\mathrm{w}\mathrm{cm} \\ \mathrm{Length}\left(\mathrm{l}\right)\mathrm{of}\mathrm{rectangle}=\mathrm{w}+15 \\ \mathrm{We}\mathrm{know}\mathrm{that}\mathrm{Perimeter}\mathrm{of}\mathrm{rectangle}=2\left(\mathrm{l}+\mathrm{w}\right) \\ 150=2\left(\mathrm{l}+\mathrm{w}\right) \\ 75=\mathrm{w}+15+\mathrm{w} \\ 75=2\mathrm{w}+15 \\ 60=2\mathrm{w} \\ \mathrm{w}=30\mathrm{cm} \\ \mathrm{So}\mathrm{l}=\mathrm{w}+15=45\mathrm{cm} \end{gathered}$$
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