Solution:
Let x be the width and y be the length of the rectangular garden.
So, as per the given question,
y = x + 4 ….(i)
and half the perimeter is given as 36 m.
That means, x + y = 36 ….(ii)
From equation (i),
y = x + 4
x | 0 | 8 | 12 |
y | 4 | 12 | 16 |
From equation (ii),
y = 36 – x
The graphical representation of both equations is as follows;
From the above graph, we can see that the lines intersect each other at a point(16, 20).
Hence, the width of the garden is 16 m and the length is 20 m.