Rectangle Area Problem: Finding Side Length When Area = 55 and Height = 5.5

Question

The area of the rectangle below is equal to 55.

AC = 5.5

Calculate the length of side AB.

555555AAABBBDDDCCC5.5

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) multiplied by length(AC)
00:07 Substitute 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 a rectangle is equal to its length multiplied by its width.

Hence let's begin by inserting the known data into the formula:

S=AB×AC S=AB\times AC

55=AB×5.5 55=AB\times5.5

Let's now divide both sides by 5.5:

AB=10 AB=10

Answer

10