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

Ans.Let the length of rectangular garden and width of rectangular garden be x metres and y metres respectively.

Given, the perimeter = 36m

=>\(x + y = 36\).......(i)
Also \(x = y + 4\)
=>\(x - y = 4\)........(ii)

On adding equation (i) and (ii),
=>\(2x = 40\)

=>\(x = 20\)m

On subtracting equation (ii) from (i),
=>\(2y = 32\)

=>\(y = 16\)m

Hence , length = 20 m and width = 16 m.