Math Problem Statement
What is the perimeter of one rectangle from the diagram? Hint: Find 2a + 2b.
Solution
The problem asks for the perimeter of one rectangle from the diagram, and the hint mentions the formula , where and are the sides of the rectangle. Let's analyze the given dimensions:
- The vertical distance labeled 45 cm corresponds to side of one rectangle.
- The horizontal distance labeled 60 cm corresponds to side of the rectangle.
To calculate the perimeter of the rectangle, use the formula for the perimeter of a rectangle:
Substituting the given values for and :
Therefore, the perimeter of one rectangle is 210 cm.
Would you like further details or clarification on this?
Here are 5 related questions:
- How is the formula for the perimeter of a rectangle derived?
- What is the area of one rectangle with the given dimensions?
- How would the perimeter change if one side is doubled?
- Can you find the total perimeter of both rectangles combined in the figure?
- What other shapes' perimeters can be calculated using the sum of side lengths?
Tip: When working with geometric figures, always identify and label each dimension clearly to avoid confusion.
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Math Problem Analysis
Mathematical Concepts
Geometry
Perimeter Calculation
Formulas
Perimeter of a rectangle P = 2a + 2b
Theorems
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Suitable Grade Level
Grade 5-7