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Answer :
The width is 10 feet and the length is 12 feet.
To find the length and width of the rectangular bedroom with the given area of 120 square feet where the length is 2 feet more than its width, we can set up an equation to solve for the width (w) and then find the length (l).
Let width be w feet.
Solve the quadratic equation w² + 2w - 120 = 0 to find the width.
The width of the room w could be -12 or 10. Since width cannot be negative, we take the positive value w = 10 feet.
Substitute w back into the length equation to find l = 10 + 2 = 12 feet.
Thus, the width of the bedroom is 10 feet and the length is 12 feet.
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