Problema Solution
A square rug has an area of 104 square feet.
a.)use a number line to approximate the length of one side of the rug. Explain.
b.)Find the length of one side of the rug.
c.)You place the rug in the center of a square room that has an area of 140 square feet. About how many inches of the floor will be exposed on each side of the rug?
Answer provided by our tutors
Let 'x' represent the length of one side of the rug.
x^2 = 104
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click here to see the equation solved for x
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x = 10.20 ft
The length of one side of the rug is 10.20 ft.
Let 's' represent the inches of the floor on each side of the rug that are exposed.
(x + 2s)(x + 2s) = 140
(10.20 + 2s)^2 = 140
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click here to see the equation solved for s
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s = 0.82 ft
1 ft = 12 in
0.62 ft = 0.82*12 in = 9.84 in
9.84 inches on the each side of the rug will be exposed.