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# 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.