Question

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

Find the dimensions of the garden.

Answer 1

Find the value of the dimensions of garden

Let the width of the rectangle be $x$ and the length be $x+4$

• Given: Half of the perimeter of the rectangle$=36$m

$\Rightarrow \frac{1}{2}\times$perimeter of rectangle$=36$m

Perimeter of rectangle$=2\times 36$m

$$\begin{gathered} 2(l+b)=72 \\ (x+x+4)=36 \\ 2x=32 \\ x=16 \end{gathered}$$

Therefore, length$=x+4\Rightarrow 16+4$

Length$=20$

Breadth$=x$

Breadth$=16$

Hence, the length and breadth of the rectangle are $20$ and $16$respectively.