Question

Half the perimeter of a rectangular garden, whose length is $20$ m more than its width, is $100$ m. Find the length of the garden

• A. 55
• B. 60
• C. 50

Answer 1

The correct option is B 60

Let the length of the garden be $x$ and the breadth be $y$.

Then, half the perimeter =$\frac{1}{2}\times 2(x+y)=100$

$\Rightarrow x+y=100\dots \left(1\right)$

Also given, length of garden is 20m more than its width.

$\Rightarrow x-y=20\dots \left(2\right)$

Adding (1) and (2),

$2x=120\Rightarrow x=60$
$\therefore$ The length is 60 m.