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A rectangular room is 7 feet longer than it is wide If the area of the room is 228 square feet find the length and the width?
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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