I need assisatnce with this. I do not want the answer I just want some guidence on how I should start it.

The width of a rectangle is 5 ft, its length is (3x+2) ft, and its area is 75 ft². Find x

4 answers

area = length x width
so ...
5(3x+2) = 75
expand, then solve for x,
That's what I was thinking as well but the 75 being squared is throwing me off. Do I need to write it as
5(3x+2)=75²?
no, just keep it as 75
they are square units, and the left side of the equation is also in square units

15x + 10 = 75
15x = 65
x = 65/15 = 13/3

then your length is 3(13/3) + 2 = 15

check:
5x15 = 75
Thank you!! That's what I thougth but I was thrown off by the square root.
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