A rectangle has a width w that is a 5 units longer than its lengthL. Which equation expresses the rectangle's area, A?
To find the equation that expresses the rectangle's area (A), you need to understand the relationship between the width (w) and the length (L).
According to the given information, the width (w) is 5 units longer than the length (L). Mathematically, we can express this as:
w = L + 5
Now, let's recall the formula for the area of a rectangle: A = length × width.
Since the width (w) is L + 5, we substitute this expression into the formula for the area:
A = L × (L + 5)
Expanding the equation, we get:
A = L² + 5L
Therefore, the equation that expresses the rectangle's area (A) is A = L² + 5L.
The area of a rectangle is calculated by multiplying its length (L) by its width (w).
Given that the width (w) is 5 units longer than the length (L), we can express this relationship as:
w = L + 5
Using this information, we can substitute the value of w in the area formula:
A = L * w
Substituting w with L + 5, the equation expressing the rectangle's area becomes:
A = L * (L + 5)
A = wL
Unusual, when the width is longer than the length.