The length of a lacrosse field is 15 yards less than twice its width, and the perimeter is 330 yards. The defensive area of the field is 3/20 of the total field area. How do you find the defensive area of the lacrosse field?
The Defensive Area is 945 square yards.
To solve this problem you first need to find the area of the field (a rectangle) which can be expressed as
To get the Length and Width we need to use the formula for the Perimeter of a Rectangle:
We know the perimeter and we know the relation of the Length to the Width so we can substitute what we know into the formula for the perimeter of a rectangle:
We also know:
Now that we know the Length and Width we can determine the Total Area: