Math Problem Statement

Find the area enclosed by the square with a side length of 7 cm.

Solution

To find the area enclosed by the square, we use the formula for the area of a square:

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

In this problem, each side of the square is given as 7 cm. Plugging in this value:

Area=72=49cm2\text{Area} = 7^2 = 49 \, \text{cm}^2

Answer:

The area enclosed by the square is 49cm249 \, \text{cm}^2.

Would you like additional details, or do you have any questions?


Here are some related questions for further practice:

  1. If the side of a square is 10 cm, what is its area?
  2. How would the area change if the side length of the square doubled?
  3. What is the perimeter of a square with a side length of 7 cm?
  4. How do you find the area of a square if only the diagonal length is known?
  5. If the side length was in meters instead of centimeters, how would you convert the area to square centimeters?

Tip: Remember, the area of a square grows with the square of its side length, meaning that doubling the side length quadruples the area.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area Calculation

Formulas

Area of a square = side^2

Theorems

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Suitable Grade Level

Grade 6-8