The area of a rectangle formula is A = lw. Suppose that the width is 5 less than the length. Express area as a function of the width.
L = w+5
A = L w = (w+5)w = w^2 + 5 w
To express the area as a function of the width, we need to solve the equation for the length in terms of the width.
Given that the width is 5 less than the length, we can express this relationship as width = length - 5.
Substituting this into the formula for the area of a rectangle, we get:
A = (length) * (width)
A = (length) * (length - 5)
A = length^2 - 5 * length
So, the area (A) can be expressed as a function of the width (w) by using the expression length^2 - 5 * length.