The area of a rectangle is expressed as (12m + 18) square feet. If the width of the rectangle is 6 feet, choose an expression to represent the length of the rectangle. (m + 1) feet (2m + 3) feet 6(12m + 18) feet (6m + 12) feet

Mathematics

ScanSolve AI Answer

Step-by-step solution

3 steps

The area of a rectangle is given by the formula:
Area = Length × Width

We are given:
Area = (12m+18)(12m + 18) square feet
Width = 6 feet

We need to find the expression for the Length.

  1. Rearrange the formula to solve for Length

    Length = Area / Width

  2. Substitute the given values into the formula

    Length = (12m+18)/6(12m + 18) / 6

  3. Simplify the expression

    To simplify, divide each term in the numerator by the denominator:
    Length = 12m6+186\frac{12m}{6} + \frac{18}{6}
    Length = 2m+32m + 3

    Therefore, the expression representing the length of the rectangle is (2m+3)(2m + 3) feet.

    The final answer is (2m+3) feet\boxed{(2m + 3)\ \text{feet}}.

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