SOLUTION: A rectangular painting is m+4 inches wide and 3m-1 inches long. What is the area, in square inches, of the painting in terms of m?

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Question 1063621: A rectangular painting is m+4 inches wide and 3m-1 inches long. What is the area, in square inches, of the painting in terms of m?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
We'll use the formula

area = (length)*(width)

which is the area of a rectangle formula. We're given

length = m+4
width = 3m-1

So let's plug those values in to get...

area = (length)*(width)
area = (m+4)*(3m-1)
area = m*(3m-1)+4*(3m-1)
area = m*(3m)+m(-1)+4*(3m)+4(-1)
area = 3m^2-m+12m-4
area = 3m^2+11m-4

Note: the units of the area are in "square inches" (inch * inch = square inches)