Math Problem Statement
Show my work
Solution
In this image, you're working on calculating the perimeter and area of a rectangle.
Given:
- Length: 36.5 m
- Width: 40.5 m
Perimeter Calculation:
The formula for the perimeter of a rectangle is:
Substitute the values:
Area Calculation:
The formula for the area of a rectangle is:
Substitute the values:
Summary:
- Perimeter: 154 m
- Area: 1478.25 m²
Do you have any other questions or need further clarification?
Here are 5 questions to extend your learning:
- How does the perimeter change if both dimensions are doubled?
- What is the diagonal length of this rectangle using the Pythagorean theorem?
- How do you calculate the area of a square, and how is it different from a rectangle?
- Can you derive the formula for the perimeter of any polygon?
- How would the perimeter and area change if the length and width were given in centimeters?
Tip: Always double-check units, especially in area calculations, to avoid conversion mistakes.
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Math Problem Analysis
Mathematical Concepts
Geometry
Perimeter
Area
Formulas
Perimeter of a rectangle: P = 2 × (Length + Width)
Area of a rectangle: A = Length × Width
Theorems
-
Suitable Grade Level
Grades 5-6
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