Rectangle Area Problem: Find Side Length AB When Area = 24 and AC = 3

Question

The area of the rectangle below is equal to 24.

AC = 3

What is the length of side AB?

242424333AAABBBDDDCCC

Video Solution

Solution Steps

00:00 Find AB
00:03 The formula for calculating rectangle area is width(AB) multiplied by length(AC)
00:07 We'll substitute appropriate values according to the given data and solve for AB
00:13 And this is the solution to the question

Step-by-Step Solution

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×AC S=AB\times AC

24=AB×3 24=AB\times3

Let's now divide both sides by 3:

AB=8 AB=8

Answer

8