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 Find X

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

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

00:17 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:

$72=x\times2x$

$72=2x^2$

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:

$x=6$