Area and perimeter of rectangles

Area and perimeter of rectangles

Lessons

In this lesson, we will learn:

  • The basic properties of the shape of the rectangle
  • How to understand and calculate the perimeter of a rectangle
  • How to understand and calculate the area of a rectangle

Notes:

  • A rectangle is a 2D (two-dimensional) shape with 4 straight sides and 4 right angles (90°)
    • Each pair of sides (across from each other) are the exact same length

2D Shapes: Area and Perimeter of Rectangles

    • A square is a special type of rectangle where all side lengths are the same

2D Shapes: Area and Perimeter of Rectangles

  • The perimeter is the exact distance around the shape.
    • Perimeter is a 1D (one-dimensional) quantity
      • It uses units such as meters (m, cm, mm, km), miles (mi), yards (yd), or inches and feet (in and ft)

    • For rectangles, the formula is written as:
      • Prectangle = (2×l)+(2×w)(2 \, \times \, l) + (2 \, \times \, w)
        • Where ll is length, and w is width

    • For squares, the formula is written as:
      • Prectangle = 4×s4 \, \times \, s
        • Where ss is side length

  • The area is the space that is covered by the shape.
    • Area is a 2D (two-dimensional) quantity
      • It uses squared units such as square meters (m2, cm2, mm2, km2), square miles (mi2), square yards (yd2), or square inches and feet (in2 and ft2)

    • For rectangles, the formula is written as:
      • Arectangle = l×wl \, \times \, w
        • Where ll is length, and w is width

    • For squares, the formula is written as:
      • Asquare = s×s=S2s \, \times \, s \, = \, S^{2}
        • Where ss is side length
  • Introduction
    Introduction to Area and Perimeter of Rectangles:
    a)
    What are the basic properties of a rectangle?

    b)
    How do you calculate the perimeter of a rectangle?

    c)
    How do you calculate the area of a rectangle?


  • 1.
    Perimeter of Rectangles
    Calculate the perimeter of each rectangle or square.
    a)

    2D Shapes: Area and Perimeter of Rectangles

    b)

    2D Shapes: Area and Perimeter of Rectangles

    c)

    2D Shapes: Area and Perimeter of Rectangles

    d)

    2D Shapes: Area and Perimeter of Rectangles


  • 2.
    Area of Rectangles
    Calculate the area of each rectangle or square.
    a)

    2D Shapes: Area and Perimeter of Rectangles

    b)

    2D Shapes: Area and Perimeter of Rectangles

    c)

    2D Shapes: Area and Perimeter of Rectangles

    d)

    2D Shapes: Area and Perimeter of Rectangles


  • 3.
    Perimeter and Area of Compound Rectangles
    Calculate the perimeter and area of each compound shape. Break down the complex shapes into components (rectangles) first!
    a)

    2D Shapes: Area and Perimeter of Rectangles

    b)

    2D Shapes: Area and Perimeter of Rectangles

    c)

    2D Shapes: Area and Perimeter of Rectangles


  • 4.
    Rectangles Word Problem - 1
    Pizza boxes are usually square. If a pizza box has a perimeter of 61 inches, what does it measure on each side?

  • 5.
    Rectangles Word Problem - 2
    A book's cover has a perimeter of 36 inches. The longer side is 10 inches. What is the area of the book cover?