Calculate X: Finding Rectangle Dimensions When Area = 72 and Length = 2X

Question

The area of the rectangle below is equal to 72.

AC = X

AB = 2X

Calculate X.

00:00 Calculate the value of X

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

00:07 Substitute in the relevant values according to the given data and proceed to solve for X

00:17 This is the solution

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:

$72=x\times2x$

$72=2x^2$

Let's proceed to simplify both sides of the equation by the HCF (highest common factor ) in this case 2:

$36=x^2$

Finally we remove the square root in order to solve the equation as follows:

$x=6$