Question

Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of garden.

Answer 1

Dear student,

$$\begin{gathered} Letthewidthofrec\tan glebe\text{'}x\text{'} \\ andlengthofrec\tan glebe(x+4) \\ Acc.toquestion, \\ \frac{1}{2}\times Perimeterofgarden=36 \\ \Rightarrow \frac{1}{2}\times 2\left(l+b\right)=36 \\ \Rightarrow x+x+4=36 \\ \Rightarrow 2x=36-4 \\ \Rightarrow 2x=32 \\ \Rightarrow x=\frac{32}{2}=16 \\ Thusthewidthofrec\tan gleis16m \\ andlengthofrec\tan gleisx+4=16+4=20m \end{gathered}$$
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