SOLUTION: A rectangular lot consists of a swimming pool and the surrounding wooden deck with uniform width. The dimensions of the lot are 50m x 40m. What is the width of the deck, if the are

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: A rectangular lot consists of a swimming pool and the surrounding wooden deck with uniform width. The dimensions of the lot are 50m x 40m. What is the width of the deck, if the are      Log On


   

Question 1166997: A rectangular lot consists of a swimming pool and the surrounding wooden deck with uniform width. The dimensions of the lot are 50m x 40m. What is the width of the deck, if the area of the pool is 70% of the overall area of the lot?
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
Entire lot, %2850%29%2840%29=2000 square meters

u, the uniform width of surrounding deck within that area,
Area of pool, %2850-2u%29%2840-2u%29 square meters

The question condition, %2850-2u%29%2840-2u%29=0.7%2A2000;
Simplify and solve.