Find the Area Expression for a Square with Vertices ABCD

Look at the square shown below:

AAABBBDDDCCC

Which expression represents its area?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Express the area of the square
00:03 Side length according to the given data
00:07 We'll use the formula for calculating the area of a square (side squared)
00:15 We'll substitute appropriate values and solve to find the area
00:24 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

Look at the square shown below:

AAABBBDDDCCC

Which expression represents its area?

2

Step-by-step solution

The area of a square can be obtained by squaring the measurement of one of its sides.

The formula for the area of a square is:

S=a2 S=a^2

Let's therefore insert the known data into the formula:

S=x2y2 S=x^2y^2

3

Final Answer

x2y2 x^2y^2

Practice Quiz

Test your knowledge with interactive questions

Look at the square below:

111111

What is the area of the square?

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