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

Question

otez555 [7]

3 years ago

10

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?

Mathematics

1 answer:

Nezavi [6.7K] · Answer 1 · 2021-12-17T06:45:00+03:00

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