A backyard covers 225 square feet. If the width of the gym is 25 ft, what is the perimeter of the backyard?
What does the width of the gym have to do with the backyard?
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To find the perimeter of the backyard, we need to know the length of the yard. However, the problem only provides the area (225 square feet) and the width of the yard (25 feet). Without the length, we cannot directly calculate the perimeter.
The perimeter is the sum of all sides of a shape. In the case of a rectangular backyard, the perimeter is given by the formula: Perimeter = 2 * (length + width).
Since we do not have the length, we need to find a way to determine it. One possible method is to consider that the area of the backyard is given by the formula: Area = length * width.
Given that the area is 225 square feet and the width is 25 feet, we can rearrange the formula to solve for the length: length = Area / width.
Substituting the given values, we have: length = 225 ft^2 / 25 ft = 9 ft.
Now that we have both the length and the width, we can calculate the perimeter using the formula: Perimeter = 2 * (length + width).
In this case, the perimeter would be: Perimeter = 2 * (9 ft + 25 ft) = 2 * 34 ft = 68 ft.
Therefore, the perimeter of the backyard is 68 feet.