The length of a rectangle refers to the longer side or dimension of the shape, while the width or breadth refers to the shorter side. The length and width of a rectangle are usually denoted by “l” and “w” respectively.
To find the length of a rectangle, you need to know either the area or the perimeter of the rectangle and its width. The formula to find the length of a rectangle using its area is:
l = A/w
Where “l” is the length, “A” is the area, and “w” is the width.
To find the length of a rectangle using its perimeter, you can use the following formula:
l = P/2 – w
Where “P” is the perimeter, and “w” is the width.
Here are some examples to help you better understand how to find the length of a rectangle:
Example 1: The area of a rectangle is 20 square units, and its width is 4 units. What is the length of the rectangle?
Solution: Using the formula, l = A/w, we can substitute the given values to get:
l = 20/4 = 5 units
Therefore, the length of the rectangle is 5 units.
Example 2: The perimeter of a rectangle is 18 units, and its width is 2 units. What is the length of the rectangle?
Solution: Using the formula, l = P/2 – w, we can substitute the given values to get:
l = 18/2 – 2 = 7 units
Therefore, the length of the rectangle is 7 units.
Example 3: A rectangle has an area of 48 square units and a width of 6 units. What is its length?
Solution: Using the formula, l = A/w, we can substitute the given values to get:
l = 48/6 = 8 units
Therefore, the length of the rectangle is 8 units.
