SOLUTION: A rectangular garden has a dimension of 24 feet by 70 feet by 10 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gr

Algebra ->  Finance -> SOLUTION: A rectangular garden has a dimension of 24 feet by 70 feet by 10 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gr      Log On


   



Question 976683: A rectangular garden has a dimension of 24 feet by 70 feet by 10 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 240 square feet.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x and y, dimensions;
u, the uniform width around the rectangle made by x and y;
A, the area of the border around rectangle made by x and y.

One of your listed dimension values is not acceptable if your garden is a rectangle. You can only have any TWO of them; NOT three of them. Decide which of the two listed values will be your rectangle's dimensions.

x and y, supposed to be known, and given.
u, the unknown.
A=240.

highlight_green%28%28x%2B2u%29%28y%2B2u%29-xy=A%29, quadratic equation, unsimplified, in the variable, u.

Solve for u.