Math Problem Statement
the length of a garden is 11 more than its width. if the perimeter is 90, what is the measure of its width?
Solution
Let the width of the garden be represented by . According to the problem, the length of the garden is 11 more than the width, so the length is .
The formula for the perimeter of a rectangle is:
We are told that the perimeter is 90, so we can substitute the values into the formula:
Simplify the equation:
Next, divide both sides by 2:
Now, subtract 11 from both sides:
Finally, divide both sides by 2:
So, the width of the garden is units.
Do you want any more details or have additional questions on this topic?
Here are 5 related questions:
- How do we calculate the area of the garden?
- What would the perimeter be if the length were 20 more than the width?
- What happens if the perimeter were reduced by 10 units?
- How would we solve this if the length were half the width instead of 11 more?
- How does changing the dimensions affect the perimeter of the garden?
Tip: Double-check your perimeter formula, especially when variables change like this!
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Math Problem Analysis
Mathematical Concepts
Algebra
Perimeter of a Rectangle
Formulas
Perimeter of a rectangle: P = 2 × (Length + Width)
Theorems
-
Suitable Grade Level
Grades 7-9
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