16Hit1600
Advanced MathEasy–MediumRectangle dimensions from area and a relation

Advanced Math practice question

A rectangle is 6 centimetres longer than it is wide, and its area is 40 square centimetres. What is its width, in centimetres?

Answer: 4

w(w + 6) = 40 gives w² + 6w − 40 = (w + 10)(w − 4) = 0, so w = 4.

Common wrong answers

If you answered 10
10 is the length (4 + 6), or the size of the rejected root.
If you answered -10
−10 is the negative root, impossible for a width.
If you answered 6.67
6.67 is 40/6, dividing area by the 6 instead of solving.

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