The expression (20 - w)w represents the area of the garden in square meters.
The perimeter of the garden = 40 meters
The width = w
Perimeter of a rectangle = 2(l + w)
Hence,
40 = 2(l + w)
20 = l + w
The length of the garden = 20 - w
Since width = w and length = 20 - w
Recall, the area of a rectangle = Length × width
Area of the rectangular garden is expressed thus :
(20 - w) × w = (20 - w)w
Hence, the expression represents the area of the garden in square meters.
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