A rectangle is one inch longer than it is wide. Its diameter is five inches. What's the width of the rectangle?

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Accepted Answer

The diagonal formula for a rectangle isD2 =L2 +W2. In this case,D= 5, andL=W+ 1. Substituting the known values into the formula results in 52 = (W+ 1)2 +W2. 25 = (W+ 1)(W+ 1) +W2 25 =W2+ 2W+ 1 +W2 25 = 2W2+ 2W+ 1 (Note: This equation is a quadratic equation and can be solved by setting it equal to zero and factoring.) 0 = 2W2+ 2W 24 1/2(0) = 1/2(2W2+ 2W 24) 0 =W2+W 12 0 = (W 3)(W+ 4) W 3 = 0W+ 4 = 0 W= 3W= 4 (not a possible solution)

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