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A cement sidewalk will be poured around the outside of a rectangular plot that is 13m by 20 m what will be the area of the sidewalk if it is 1 meter wide?
Wiki User
∙ 14y ago
Figure it like this:
Because each side of the rectangular plot will have a one-meter wide sidewalk adjoining it, you know that the sidewalk, on each side of the plot will be two meters longer than the plot's dimensions. However, if you figured the length by adding the areas of each length of sidewalk, you would be wrong, because each length of sidewalk shares two corners with the adjacent lengths. Each corner is one square meter, and each length of sidewalk without two corners is the same as the dimension of the plot, times one meter. So essentially, you just add the plot dimensions and then add four. In other words, 2(13m * 1m) + 2(20m * 1m) + 4m2 = 26m2 + 40m2 + 4m2 = 70m2.
Another way to figure it would be to figure the area which will be enclosed by the outer edge of the sidewalk (again, two meters longer than the plot on each side), and subtract the area of the plot itself, or: (15m * 22m) - (13m * 20m) = 330m2 - 260m2 = 70m2.
Wiki User
∙ 14y ago
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