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

The area of the rectangle below is equal to 55.

AC = 5.5

Calculate the length of side AB.

555555AAABBBDDDCCC5.5

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

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1

Understand the problem

The area of the rectangle below is equal to 55.

AC = 5.5

Calculate the length of side AB.

555555AAABBBDDDCCC5.5

2

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

3

Final Answer

10

Practice Quiz

Test your knowledge with interactive questions

Look at the rectangle ABCD below.

Side AB is 6 cm long and side BC is 4 cm long.

What is the area of the rectangle?
666444AAABBBCCCDDD

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