SOLUTION: A lumber company owns a forest that is of rectangular shape, 1 mi by 2 mi. If the company cuts a uniform strip of trees along the outer edges of this forest, how wide should the s

Algebra ->  Human-and-algebraic-language -> SOLUTION: A lumber company owns a forest that is of rectangular shape, 1 mi by 2 mi. If the company cuts a uniform strip of trees along the outer edges of this forest, how wide should the s      Log On


   



Question 1047024: A lumber company owns a forest that is of rectangular shape, 1 mi by 2 mi. If the company cuts a uniform strip of trees along the outer edges of this forest, how wide should the strip be if 3/4 sq mi of forest is to remain.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The cutting starts from the original perimeter of the rectangle and goes INWARD. The help to make this interpretation is, "3/4 sq mi ... is to remain."

How wide? Let this be the variable, x.

Initial area before cutting the trees away: 1%2A2=2%2AsquareMiles.

Area remaining after cutting the width of x around the forest, rectangle: highlight%28%281-2x%29%282-2x%29=3%2F4%29.
This is the equation to solve.

That was the analysis including forming the equation to be solved. You can probably solve the resulting equation without help ?