MathDB
Area given Perimeter

Source:

April 2, 2013
geometryperimeterrectangle

Problem Statement

The perimeter of a rectangle is 100100 and its diagonal has length xx. What is the area of this rectangle?
<spanclass=latexbold>(A)</span>625x2<spanclass=latexbold>(B)</span>625x22<spanclass=latexbold>(C)</span>1250x2<spanclass=latexbold>(D)</span>1250x22<spanclass=latexbold>(E)</span>2500x22<span class='latex-bold'>(A) </span>625-x^2\qquad<span class='latex-bold'>(B) </span>625-\dfrac{x^2}2\qquad<span class='latex-bold'>(C) </span>1250-x^2\qquad<span class='latex-bold'>(D) </span>1250-\dfrac{x^2}2\qquad<span class='latex-bold'>(E) </span>2500-\dfrac{x^2}2