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NN.1 Area of squares and rectangles

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What is area?

Area is the amount of space a shape covers on a flat surface. It tells how many square units fit inside a figure, such as a square or rectangle.

Example:
  • If a rectangle covers 12 square inches on a piece of paper, its area is 12 square inches.
Note

Area is always measured in square units (like square centimeters, square inches, or square feet).

Finding the area of a rectangle

To find the area of a rectangle, multiply its length by its width. Both measurements must be in the same unit.

Example:
  • A rectangle is 8 meters long and 3 meters wide.
  • Area = length × width
  • Area = 8 × 3 = 24 square meters
Note

Always label your answer with square units to show that you are finding area, not just length or width.

Finding the area of a square

A square has four equal sides. To find its area, multiply one side by itself. This is the same as using the formula side × side.

Example:
  • If each side of a square is 6 centimeters long,
  • Area = side × side
  • Area = 6 × 6 = 36 square centimeters
Note

When you multiply a number by itself, you are finding the square of that number. That’s why we use “square” units for area.

Comparing areas of squares and rectangles

Both squares and rectangles use multiplication to find area. A square is a special kind of rectangle where all sides are equal, so its formula is a simpler version of the rectangle formula.

Example:
  • Rectangle: length × width
  • Square: side × side (because all sides are equal)
Note

When comparing areas, make sure all measurements use the same units. Converting units incorrectly can lead to mistakes.

Real-world connection

We use area in real life when measuring surfaces, such as walls, floors, or gardens. Knowing how to find area helps us plan materials and space correctly.

Example:
  • If a floor is 10 feet long and 9 feet wide, its area is 10 × 9 = 90 square feet. You would need 90 square feet of carpet to cover it.
Note

Area helps you understand how much space something takes up. It’s useful in everyday math, design, and construction.