Solve Rectangle Area: Length = Width + 3, Area = 27 cm²

Question

Given: the length of a rectangle is 3 greater than its width.

The area of the rectangle is equal to 27 cm².

Calculate the length of the rectangle

00:00 Calculate the length of rectangle X

00:03 We'll use the formula for calculating rectangle area (side times side)

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

00:16 Isolate X

00:27 Simplify what we can

00:40 And this is the solution to the question

The area of the rectangle is equal to length multiplied by width.

Let's set up the data in the formula:

$27=3x\times x$

$27=3x^2$

$\frac{27}{3}=\frac{3x^2}{3}$

$9=x^2$

$x=\sqrt{9}=3$

$x=3$