doughae doughae

22-07-2017
Mathematics

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Which has a greater area, a square with sides that are x - 1 units long or a rectangle with a length of x units and a width of x - 2 units?

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texaschic101 texaschic101

22-07-2017

Area of square = a^2...where a is the length of 1 side
A = (x - 1)^2
A = (x - 1)(x - 1)
A = x^2 - 2x + 1

Area of rectangle = L * W
A = x(x - 2) = x^2 - 2x

The greater area would be the square <==

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