Question

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.
6(12m + 18) feet
(m + 1) feet
(2m + 3) feet
(6m + 12) feet

Explanation:

Step1: Recall area formula for rectangle

Area = $\text{Length} \times \text{Width}$, so $\text{Length} = \frac{\text{Area}}{\text{Width}}$

Step2: Substitute given values

$\text{Length} = \frac{12m + 18}{6}$

Step3: Split the fraction

$\text{Length} = \frac{12m}{6} + \frac{18}{6}$

Step4: Simplify each term

$\text{Length} = 2m + 3$

Answer:

(2m + 3) feet