Cindy has 34 meters of fencing. She plans to build a rectangular dog run that is 2 meters wide. How long can the dog run be?
L = Length
W = Width
The perimeter of a rectangle
P = 2 L + 2 W
In this case W = 2 m
P = 34 m
34 = 2 L + 2 * 2
34 = 2 L + 4 Subtract 4 for both sides
34 - 4 = 2 L + 4 - 4
30 = 2 L Divide both sides by 2
15 = L
L = 15 m
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To find the length of the dog run, we need to subtract the width of the dog run (2 meters) from the total length of the fencing (34 meters).
Let's denote the length of the dog run as "L."
We know that the perimeter of a rectangle is the sum of all its sides. In this case, the perimeter is equal to the total length of the fencing.
The formula for the perimeter of a rectangle is: P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.
Since we know the width (W = 2 meters) and the total length of the fencing (P = 34 meters), we can substitute these values into the formula:
34 = 2L + 2(2).
Simplifying the equation:
34 = 2L + 4.
Next, we isolate the variable L by subtracting 4 from both sides of the equation:
30 = 2L.
Now, divide both sides of the equation by 2 to solve for L:
L = 30/2.
L = 15.
Therefore, the length of the dog run can be 15 meters.