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The length of a rectangle exceeds its width by 2 cm. If its diagonal is 10 cm long, find the width of the rectangle.

 Feb 27, 2021
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width = x

length = x + 2

 

Use the Pythagorean Theorem.

 

\(x^2 + (x+2)^2 = 10^2\)

\(2x^2 + 4x + 4 = 100\)

\(x^2 + 2x + 2 = 50\)

\((x+8)(x-6) = 0\)

 

Distance can't be negative, so the width is 6 centimeters.

 Feb 27, 2021

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