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?

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