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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 -

Let us consider.
The width of the garden is x and length is y.
Now, according to the question, we can express the given condition as;
y – x = 4
and
y + x = 36
Now, taking y – x = 4 or y = x + 4
For y + x = 36, y = 36 – x
The graphical representation of both the equation is as follows;
From the graph you can see, the lines intersects each other at a point(16, 20). Hence, the width of the garden is 16 and length is 20.

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