Question

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

• A. Length = 20m, Breadth = 16m
• B. Length = 20m, Breadth = 18m
• C. Length = 24m, Breadth = 20m
• D. Length = 40m, Breadth = 36m

Answer 1

The correct option is A Length = 20m, Breadth = 16m

Let the length of the garden be $x$ and the breadth be $y$.
Then, half the perimeter $=\frac{1}{2}\times 2(x+y)=36$
$\Rightarrow x+y=36\dots \left(1\right)$
Also given, $x-y=4$ … (2)
Adding (1) and (2),
$2x=40$
$\Rightarrow x=20$
Putting $x=20$ in (2),
$20-y=4$
$\Rightarrow y=16.$
Therefore, Length = $20m$ and Breadth = $16m$