Find Rectangle Side Length: Area 84 and Height 7 Problem

Question

The area of the rectangle below is equal to 84.

AC = 7

What is the length of side AB?

00:00 Find AB

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

00:08 We'll substitute appropriate values according to the given data and solve for AB

00:14 And this is the solution to the problem

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

Let's begin by inserting the known data into the formula:

$S=AB\times AC$

$84=AB\times7$

Let's now divide both sides by 7:

$AB=12$