Rectangle Area Problem: Finding Side Length AB When Area = 63 and AC = 7

The area of the rectangle below is equal to 63.

AC = 7

How long is side AB?

777AAABBBDDDCCC63

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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
00:11 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 63.

AC = 7

How long is side AB?

777AAABBBDDDCCC63

2

Step-by-step solution

We use the formula to calculate a rectangle: length times width:

AB×AC=S AB\times AC=S

We place the existing data into the formula:

AB×7=63 AB\times7=63

7AB=63 7AB=63

We divide both sides by 7:

AB=9 AB=9

3

Final Answer

9

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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