a roll of carpet 9 ft wide is 30 ft longer than a roll of carpet 15 ft wide. both rolls have the same area. make a sketch and find the dimensions of each.

3 answers

first represent unknowns with variables:
let x = length of the second carpet
let x+30 = length of first carpet.
since Area=length*width, and they have the same area,
Area = 9*(x+30) = 15*x
9(x+30) = 15x

now solve for x. then substitute this to x+30 to get length of first carpet.
let me see your work. :)

15 by 45; 9 by 75

X=45

15 by 45 and 9 by 75