Find Rectangle Side Length: Area 84 and Height 7 Problem

The area of the rectangle below is equal to 84.

AC = 7

What is the length of side AB?

848484777AAABBBDDDCCC

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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) 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 written solution

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1

Understand the problem

The area of the rectangle below is equal to 84.

AC = 7

What is the length of side AB?

848484777AAABBBDDDCCC

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

84=AB×7 84=AB\times7

Let's now divide both sides by 7:

AB=12 AB=12

3

Final Answer

12

Practice Quiz

Test your knowledge with interactive questions

ABCD is a rectangle.

Given in cm:

AB = 7

BC = 5

Calculate the area of the rectangle.

777555AAABBBCCCDDD

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