Rectangle Area Problem: Solve for X When 3(2X + 2) = 24

Question

The area of the rectangle below is equal to 24.

AC = 3

AB = 2X + 2

Calculate X.

00:00 Find X

00:03 The formula for calculating rectangle area is width(AB) multiplied by length(AC)

00:07 Let's substitute appropriate values according to the given data and solve for X

00:13 Let's expand the parentheses correctly

00:18 And this is the solution to the problem

The area of the rectangle is equal to the length multiplied by the width.

Let's present the known data:

$24=3\times(2x+2)$

$24=6x+6$

We'll move 6 to the left side and maintain the appropriate sign:

$24-6=6x$

$18=6x$

We'll divide both sides by 6:

$x=3$