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 P=2a+2bP = 2a + 2b, where aa and bb are the sides of the rectangle. Let's analyze the given dimensions:

  • The vertical distance labeled 45 cm corresponds to side aa of one rectangle.
  • The horizontal distance labeled 60 cm corresponds to side bb of the rectangle.

To calculate the perimeter of the rectangle, use the formula for the perimeter of a rectangle:

P=2a+2bP = 2a + 2b

Substituting the given values for aa and bb:

P=2(45)+2(60)=90+120=210cmP = 2(45) + 2(60) = 90 + 120 = 210 \, \text{cm}

Therefore, the perimeter of one rectangle is 210 cm.

Would you like further details or clarification on this?


Here are 5 related questions:

  1. How is the formula for the perimeter of a rectangle derived?
  2. What is the area of one rectangle with the given dimensions?
  3. How would the perimeter change if one side is doubled?
  4. Can you find the total perimeter of both rectangles combined in the figure?
  5. 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