Square Area: Finding the Algebraic Expression for ABCD

Look at the following square:

AAABBBDDDCCC

Which expression represents its area?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:03 Let's figure out the area of a square.
00:06 We know the side length from the data given.
00:10 To find the area, we use the formula: side length times side length.
00:20 We substitute the values and solve to find the area.
00:25 And there you have it. That's the solution!

Step-by-step written solution

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1

Understand the problem

Look at the following square:

AAABBBDDDCCC

Which expression represents its area?

2

Step-by-step solution

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

The formula for the area of a square is:

S=a2 S=a^2

Hence let's insert the given data into the formula as follows:

S=(x+7y)2 S=(x+7y)^2

3

Final Answer

(x+7y)2 (x+7y)^2

Practice Quiz

Test your knowledge with interactive questions

Given the square:

777

What is the area of the square?

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