The perimeter of a yard is 30 feet. The width is 10 feet. How many feet is the length?
Understand the Problem
The question is asking for the length of a yard given its perimeter and width. To solve this, we can use the formula for the perimeter of a rectangle, which is P = 2(length + width). In this case, we can isolate the length to find its value.
Answer
The length of the yard is $5$ feet.
Answer for screen readers
The length of the yard is $5$ feet.
Steps to Solve
- Identify the formula for perimeter
The formula for the perimeter of a rectangle is given by:
$$ P = 2(\text{length} + \text{width}) $$
- Substitute known values
Given the perimeter ( P = 30 ) feet and width ( \text{width} = 10 ) feet, we can substitute these values into the formula:
$$ 30 = 2(\text{length} + 10) $$
- Simplify the equation
Now, divide both sides by 2 to isolate the expression for length:
$$ 15 = \text{length} + 10 $$
- Solve for length
Subtract 10 from both sides to find the length:
$$ \text{length} = 15 - 10 $$
- Calculate the length
Now calculate:
$$ \text{length} = 5 \text{ feet} $$
The length of the yard is $5$ feet.
More Information
The length was determined using the perimeter formula for rectangles. Finding dimensions based on perimeter is a common problem in geometry, illustrating how the relationships between length and width work.
Tips
- Forgetting to divide the perimeter by 2 before isolating the length.
- Not substituting the correct width value into the equation.
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