The perimeter of a rectangular-shaped garden is 40 meters. Let w represent the width of the garden in meters. What does the expression (20−w)w represent? A. the perimeter of half of the garden in meters
B. the area of half of the garden in square meters
C. the perimeter of the garden in meters
D. the area of the garden in square meters

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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B

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21

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