Square Area: Finding the Geometric Expression for ABCD

Look at the square below:

AAABBBDDDCCC

Which expressions 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 Use the formula for calculating the area of a square (side squared)
00:14 Substitute appropriate values and solve to find the area
00:24 Note to square both numerator and denominator
00:31 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 below:

AAABBBDDDCCC

Which expressions represents its area?

2

Step-by-step solution

The area of a square is equal to measurement of one of its sides squared.

Below is the formula for the area of a square :

S=a2 S=a^2

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

S=202y2=400y2 S=\frac{20^2}{y^2}=\frac{400}{y^2}

3

Final Answer

400y2 \frac{400}{y^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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