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

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

According to the question,
$y − x = 4$………………. (1)
$y + x = 36$ ……………..(2)

$y − x = 4 y + x = 36$

$x$	$0$	$8$	$12$
$y$	$4$	$12$	$16$

And $y + x = 36$

$x$	$0$	$36$	$16$
y	$36$	$0$	$20$

Hence, the graphic representation is as follows.

From the figure, it can be observed that these lines intersect each other at only points i.e., $(16, 20)$. Therefore, the length and width of the given garden are $20$ m and$16$ m respectively.