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?

848484777AAABBBDDDCCC

Video Solution

Solution Steps

00:00 Determine the value of AB
00:03 The formula for calculating the area of a rectangle is width(AB) times length(AC)
00:08 Substitute in the relevant values into the formula according to the given data and proceed to solve for AB
00:14 This is the solution

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

84=AB×7 84=AB\times7

Let's now divide both sides by 7:

AB=12 AB=12

Answer

12