Question 607683
Perimeter


P = 2L+2W


94 = 2L+2W


94 - 2L = 2W


2W = -2L + 94


W = -2L/2 + 94/2


W = -L + 47


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Area


A = LW


A = L(-L + 47)


A = -L^2 + 47L


90 = -L^2 + 47L


0 = -L^2 + 47L - 90


-L^2 + 47L - 90 = 0


L^2 - 47L + 90 = 0


From here, solve the equation for L (using the quadratic formula). Make sure to toss out any negative answers.


Once you get a solution for L, use it to find W.

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