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.

AAABBBDDDCCC2X72X

Video Solution

Step-by-Step 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×2x 72=x\times2x

72=2x2 72=2x^2

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

36=x2 36=x^2

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

x=6 x=6

Answer

6