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The dimensions of the room would be 12 feet wide by 19 feet long. 12 x 19 = 228.

This can solved by first understanding the question in terms of 2 algebraic expressions:

a. first that the length and width of the room multiplied together is 228 ft^2, or written algebraically as l * w = 228.

b. secondly that the length is 7 feet longer than the width, or written algebraically as l-7 = w.


Net result is that there are 2 different equations with 2 different unknowns. Using integers this can now either be solved through trial and error or resolved algebraically.

a. l*w = 228

b. l-w = 7

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