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 We'll use the formula for calculating rectangle area (side multiplied by side)

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

00:12 We'll substitute the X value according to the given data and solve

00:16 We'll break down 9 into its cube factors and solve

00:29 We'll use long multiplication to find the rectangle's area

00:35 And this is the solution to the problem

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