Question

1. write an equation and solve for $x$ if the area of the rectangle is 70 square units. the rectangle has a length of $x + 4$ and a width of 7.

Explanation:

Step1: Set up area equation

The area of a rectangle is length × width, so:
$$7(x + 4) = 70$$

Step2: Divide both sides by 7

Isolate the parenthetical term:
$$\frac{7(x + 4)}{7} = \frac{70}{7}$$
$$x + 4 = 10$$

Step3: Subtract 4 from both sides

Solve for $x$:
$$x + 4 - 4 = 10 - 4$$
$$x = 6$$

Answer:

$x = 6$