Calculate Rectangle Side Length: Finding AB When Area = 132 and AC = 8.5

The area of the rectangle below is equal to 132.

AC = 8.5

Calculate length of side AB.

AAABBBDDDCCC8.5132

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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 in the relevant values according to the given data and solve for AB
00:13 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 132.

AC = 8.5

Calculate length of side AB.

AAABBBDDDCCC8.5132

2

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

132=AB×8.5 132=AB\times8.5

Let's now divide both sides by 8.5:

AB=15 AB=15

3

Final Answer

15

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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