Solve for X: Rectangle with Area 72 and Dimensions 2X by 4X

Question

The area of a rectangle is equal to 72.

AC = 2X

AB = 4X

Calculate X.

00:00 Find X

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

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

00:15 And this is the solution to the problem

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

Let's begin by inserting the known data into the formula as follows :

$72=2x\times4x$

$72=8x^2$

Let's proceed to simplify both sides of the equation by the (HCF) the highest common factor, in this case 8 :

$9=x^2$

Finally let's remove the square root:

$x=3$