16Hit1600
Advanced MathVery hardLength from a diagonal two units longer

Advanced Math practice question

A rectangle has a width of 4 centimetres, and its diagonal is 2 centimetres longer than its length. What is the length of the rectangle, in centimetres?

Answer: 3

With length L, the diagonal is √(L² + 16) = L + 2. Squaring: L² + 16 = L² + 4L + 4, so 4L = 12 and L = 3.

Common wrong answers

If you answered 2
2 is the difference between the diagonal and the length.
If you answered 5
5 is the diagonal, not the length.
If you answered 6
6 comes from 4L = 24, forgetting to subtract the 4.

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