Rectangles: relationship between perimeter and area

Learning Objectives Define perimeter and area of a rectangle. Calculate the perimeter of a rectangle given its length and width. Calculate the area of a rectangle given its length and width. Explain how the perimeter and area of a rectangle can change independently. Identify different rectangles that have the same perimeter but different areas. Identify different rectangles that have the same area but different perimeters. Solve real-world problems involving the relationship between perimeter and area of rectangles. Ever wonder if two different-shaped gardens could use the same amount of fencing but hold different amounts of plants? 🏡🌱 Let's find out how the 'around' and 'inside' of shapes are connected! In this lesson, we'll explore two im...

TermDefinitionExample RectangleA four-sided flat shape where all angles are right angles (90 degrees) and opposite sides are equal in length.A typical door, a window pane, or a sheet of paper are all examples of rectangles. Length (l)The measurement of the longer side of a rectangle.If a table is 5 feet long and 3 feet wide, its length is 5 feet. Width (w)The measurement of the shorter side of a rectangle.If a table is 5 feet long and 3 feet wide, its width is 3 feet. PerimeterThe total distance around the outside edge of a two-dimensional shape. For a rectangle, it's the sum of all four sides.If you walk around the edge of a rectangular swimming pool, the distance you walk is the perimeter of the pool. AreaThe amount of surface a two-dimensional shape covers. It's measured in s...

Perimeter of a Rectangle $P = 2(l + w)$ or $P = 2l + 2w$ To find the perimeter of a rectangle, you add the lengths of all four sides. Since opposite sides are equal, you can add the length and width, then multiply by 2. Area of a Rectangle $A = l \times w$ To find the area of a rectangle, you multiply its length by its width. This tells you how many square units fit inside the rectangle.