SOLUTION: a building is to be built on a lot that is 80m by 60m. A lawn of uniform width and equal area to the building must surround the building. What dimensions must the building have?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: a building is to be built on a lot that is 80m by 60m. A lawn of uniform width and equal area to the building must surround the building. What dimensions must the building have?       Log On


   

Question 1182034: a building is to be built on a lot that is 80m by 60m. A lawn of uniform width and equal area to the building must surround the building. What dimensions must the building have?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Area under the building, %2880-2w%29%2860-2w%29, uniform width w.
If this is HALF of the original lot's area then %2880-2w%29%2860-2w%29=%2880%2A60%29%2F2. Simplify, and solve any way you want or need.