# SOLUTION: A rectangular piece of plywood is trimmed to make a square by cutting a 4-cm strip off the top and a 2-cm strip off one side. If the area of the original piece is 74 cm2 greater th

Algebra ->  Algebra  -> Surface-area -> SOLUTION: A rectangular piece of plywood is trimmed to make a square by cutting a 4-cm strip off the top and a 2-cm strip off one side. If the area of the original piece is 74 cm2 greater th      Log On

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 Geometry: Area and Surface Area Solvers Lessons Answers archive Quiz In Depth

 Question 201058: A rectangular piece of plywood is trimmed to make a square by cutting a 4-cm strip off the top and a 2-cm strip off one side. If the area of the original piece is 74 cm2 greater than the area of the square, find the dimensions of the rectangle. Thanks for your help.Answer by ankor@dixie-net.com(15746)   (Show Source): You can put this solution on YOUR website!A rectangular piece of plywood is trimmed to make a square by cutting a 4-cm strip off the top and a 2-cm strip off one side. If the area of the original piece is 74 cm2 greater than the area of the square, find the dimensions of the rectangle. : Let L = length of the rectangle Let W = width of the rectangle then draw a diagram and it will be apparent that: (W-2) = side of the square and (L-4) = side of the square Therefore W - 2 = L - 4 W = L - 4 + 2 W = (L-2) : "If the area of the original piece is 74 cm2 greater than the area of the square, find the dimensions of the rectangle." L * W = 74 Replace W with (L-2) L*(L-2) = 74 L^2 - 2L - 74 = 0 We have to use the quadratic equation to solve this: In this problem: x=L; a=1; b=-2; c=-74 : : : Positive solution : L = 9.66 cm is the length of the rectangle then W = 9.66 - 2 = 7.66 cm is the width of the rectangle ; : Check solution by finding the area using these values: 9.66 * 7.66 = 73.9975 ~ 74; confirms our solution