Question

write an equation and solve for $x$ if the area of the rectangle is 55 square units. $3x-1$, $5$

Explanation:

Step1: Set up area equation

The area of a rectangle is $\text{length} \times \text{width}$. Substitute the given values:
$$5(3x - 1) = 55$$

Step2: Divide both sides by 5

Isolate the parenthetical expression:
$$\frac{5(3x - 1)}{5} = \frac{55}{5}$$
$$3x - 1 = 11$$

Step3: Add 1 to both sides

Isolate the term with $x$:
$$3x - 1 + 1 = 11 + 1$$
$$3x = 12$$

Step4: Divide by 3 to solve for x

Solve for the variable:
$$\frac{3x}{3} = \frac{12}{3}$$
$$x = 4$$

Answer:

$x = 4$