A fence forms a rectangle and uses 64 meters of fencing. If the width of the enclosed area is 13 yards, what is the length in inches?
To find the length in inches, we first need to convert the given width from yards to inches.
1 yard is equal to 3 feet, and 1 foot is equal to 12 inches. Therefore, 1 yard is equal to 36 inches.
So, the width of the enclosed area in inches is:
13 yards × 36 inches/yard = 468 inches.
Let's denote the width of the rectangle as w and the length as l. We know that the perimeter of the rectangle is equal to 64 meters.
The perimeter of a rectangle can be calculated using the formula: P = 2w + 2l.
Substituting the given values:
64 = 2w + 2l.
Since the width is 13 yards and we need to find the length in inches, we can substitute the width value:
64 = 2(468 inches) + 2l.
Simplifying:
64 = 936 inches + 2l.
To isolate the variable l, we subtract 936 inches from both sides:
64 - 936 = 936 - 936 + 2l,
-872 = 2l.
Divide both sides by 2:
-436 = l.
Therefore, the length of the enclosed area is -436 inches.