Answer :
Final answer:
To find the width of the footpath, we set up an equation using the original length and width of the garden and solve for x.
Explanation:
Let's denote the width of the footpath as 'x'.
The new length of the garden would be (150 + 2x) and the new width would be (120 + 2x).
The original area of the garden is given by 150 * 120 = 18000 square meters.
The new area of the garden is given by (150 + 2x) * (120 + 2x).
The problem states that the new area is 2800 square meters more than the original area, so we can set up the equation:
(150 + 2x) * (120 + 2x) = 18000 + 2800.
Simplifying and solving this equation will give us the width of the footpath.
x=5
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