Calculate Rectangle Area: Width x² and Length x When x=9

Question

The width of a rectangle is equal to $x^2$ cm and its length is $x$ cm.

$x=9$

Calculate the area of the rectangle.

00:00 Calculate the area of the rectangle

00:03 Apply the formula for calculating the rectangle area (side x by side)

00:07 Insert the relevant values into the formula according to the given data and solve for the area

00:12 Substitute in the X value according to the given data and proceed to solve

00:16 Break down 9 into its cube factors and solve

00:29 We'll use long multiplication in order to determine the rectangle's area

00:35 This is the solution

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

Let's input the known data into the formula:

$S=x\times x^2$

Since we are given that x equals 9, let's substitute it into the formula:

$S=9\times9^2=9\times81=729$

729