Math Problem Statement
The perimeter of a rectangle whose length exceeds the width. w by 5.
Solution
Let's denote the width of the rectangle as and the length as . According to the problem, the length exceeds the width by 5 units. Therefore, we can write:
The formula for the perimeter of a rectangle is:
Substitute into the perimeter formula:
Now, simplify:
So, the perimeter of the rectangle is:
Do you need further details or explanations on this?
Here are 5 related questions for further practice:
- If the width is 7 units, what is the perimeter of the rectangle?
- If the perimeter is 50 units, what is the width of the rectangle?
- How does the formula for perimeter change if the length exceeds the width by 7 units instead of 5?
- If the width is doubled, how does that affect the perimeter?
- How would you calculate the area of this rectangle?
Tip: When working with formulas, always substitute known values carefully to avoid errors.
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Math Problem Analysis
Mathematical Concepts
Geometry
Algebra
Formulas
Perimeter of a rectangle: P = 2l + 2w
Length and width relationship: l = w + 5
Theorems
-
Suitable Grade Level
Grades 6-8
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