# SOLUTION: the perimeter of a rectangle is 100cm, and its diagonal has length x. express the area of the rectangle as a function of x.

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 Geometry: Rectangles Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Rectangles Question 629035: the perimeter of a rectangle is 100cm, and its diagonal has length x. express the area of the rectangle as a function of x.Answer by stanbon(57214)   (Show Source): You can put this solution on YOUR website! the perimeter of a rectangle is 100cm, and its diagonal has length x. express the area of the rectangle as a function of x. ----- Perimeter = 2(length + width) = 100 cm length + width = 50 cm --- L^2 + W^2 = x^2 --- length = sqrt[x^2-width^2] width = sqrt[x^2-length^2] ---------- Area = length*width = sqrt[(x^2-W^2)(x^2-L^2)] ==================== Cheers, Stan H.