the width, w, of a rectangular garden is r-7. the area of the garden is r^2-14r+54. what is an expression for the length of the garden?

Answer 1

To find the length of the garden, we need to use the formula for the area of a rectangle: length x width = area.

Given that the width, w, is r-7, and the area of the garden is r^2-14r+54, we can write the following equation:

(r-7) x length = r^2 - 14r + 54.

Now, let's solve for the length:

Length = (r^2 - 14r + 54) / (r-7).
Length = (r-6)(r-9) / (r-7).
Length = r-9

Therefore, an expression for the length of the garden is r-9.