Question

The rectangle below has an area of 81-x^281−x 2 81, minus, x, start superscript, 2, end superscript square meters and a width of 9-x9−x9, minus, x meters. what expression represents the length of the rectangle?

Answer 1

By definition, the area of a rectangle is given by:
 A = (w) * (l)
 Where,
 w: width
 l: long
 Clearing the length we have:
 l = A / w
 Substituting values:
 l = (81-x ^ 2) / (9-x)
 Rewriting we have:
 l = ((9-x) * (x + 9)) / (9-x)
 Canceling similar terms:
 l = x + 9
 Answer:
 the length of the rectangle is:
 l = x + 9