Math Problem Statement

What’s the area of this shape?

Solution

The shape in the image is a square, with the side labeled as 5 cm.

The formula to calculate the area of a square is:

Area=side2\text{Area} = \text{side}^2

Substituting the given value:

Area=52=25cm2\text{Area} = 5^2 = 25 \, \text{cm}^2

Thus, the area of the square is 25 cm².

Would you like further clarification or additional examples? Here are some related questions to deepen your understanding:

  1. How is the area of a rectangle calculated, and how does it differ from a square?
  2. What is the perimeter of this square, given the side length is 5 cm?
  3. If the side of the square were doubled, what would be the new area?
  4. How would the calculation change if the shape was a circle with a diameter of 5 cm?
  5. Can you derive the diagonal length of this square?

Tip: When calculating areas, always ensure the dimensions are in the same units to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area calculation

Formulas

Area of a square = side × side

Theorems

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Suitable Grade Level

Grades 4-6