# SOLUTION: Help!! I have a test on Friday and do not understand how to do this type of problem. Please include all steps so I can understand how to apply for other problems. Thank you 1

Algebra ->  -> SOLUTION: Help!! I have a test on Friday and do not understand how to do this type of problem. Please include all steps so I can understand how to apply for other problems. Thank you 1      Log On

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 Click here to see ALL problems on Expressions-with-variables Question 110105This question is from textbook algebra Structure and method book 1 : Help!! I have a test on Friday and do not understand how to do this type of problem. Please include all steps so I can understand how to apply for other problems. Thank you 1. 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 cm^2 (cm squared) greater than the area of the square, find the dimensions of the rectangle. 2. A small city park consists of a rectangular lawn surrounded on all sides by a 330m^2 ( m squared) border of flowers 2.5 m wide. Find the area of the lawn if the entire park is 5 m longer than it is wide. Thank you!!! SISIThis question is from textbook algebra Structure and method book 1 Answer by edjones(7794)   (Show Source): You can put this solution on YOUR website!A) L*w=a B) (L-4)(w-2)=a-74 C) L-4=w-2 L=w+2 . A) (w+2)*w=a w^2+2w=a . B) (w+2-4)(w-2)=w^2+2w-74 (w-2)(w-2)=w^2+2w-74 w^2-4w+4=w^2+2w-74 -6w=-78 w=13 cm . C) L-4=13-2 L-4=11 L=11+4 L=15 cm . A) 13*15=195 cm^2 . Answer: w=13, L=15 That was hard! . . A)L*w=a (w+5)w=a . B) w(w-5)=330 w^2-5w=330 w^2-5w-330=0 w=20.84 m (approx.) quadratic formula (the other answer was negative) L=25.84 m approx . 25.84*20.84=538.37 m area of park. 20.84*15.84=330 m area of flower border. 538.37-330=208.37 m^2 area of lawn. Ans. . Ed