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MathNet 2006 — Part 02 Question 170

Math Olympiad Vault · MathNet 2006 — Part 02

Question 170

The perimeter of a rectangle is $100~\mathrm{cm}$ and the diagonal measures $x~\mathrm{cm}$. What is the area of ​​the rectangle as a function of $x$?

A) $625-x^{2}$

B) $625-\frac{x^{2}}{2}$

C) $1250-\frac{x^{2}}{2}$

D) $250-\frac{x^{2}}{2}$

E) $2500-\frac{x^{2}}{2}$