# SOLUTION: A rectangle scale used to weigh an elephant seal is 8 feet longer than it is wide. The area of the scale is 33 square feet. What are the dimensions of the scale?

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 Click here to see ALL problems on Quadratic Equations Question 72671: A rectangle scale used to weigh an elephant seal is 8 feet longer than it is wide. The area of the scale is 33 square feet. What are the dimensions of the scale?Answer by Tutor Online(2)   (Show Source): You can put this solution on YOUR website!A rectangle scale used to weigh an elephant seal is 8 feet longer than it is wide. The area of the scale is 33 square feet. What are the dimensions of the scale? Let width be x feet Then length would be x+8 , as its given scale is 8 feet longer then its width Area of rectangle is given by Area= length * width Area of scale = x(x+8) sq feet x ( x+8 ) = 33 x^2 +8x -33 =0 Solving above quadratic by factorization x^2 + 11x -3x -33 =0 x(x+11) -3 ( x+11)=0 (x+11)(x-3) =0 So either x = 3 x = -11 x cannot be negative as width cannot be negative so x = 3 is the answer So width of scale is 3 hope this helps