Calculate Square Area: Finding Expression for Side Length (a-b)

Look at the following square:

AAABBBDDDCCCa-b

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 The side length according to the given data
00:07 We'll use the formula for calculating the area of a square (side squared)
00:13 We'll substitute appropriate values and solve to find the area
00:21 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

Look at the following square:

AAABBBDDDCCCa-b

Which expression represents its area?

2

Step-by-step solution

Remember that the area of the square is equal to the side of the square raised to the 2nd power.

Formula for the area of the square:

A=L2 A=L^2

We substitute our values into the formula:

A=(a−b)2 A=(a-b)^2

3

Final Answer

(a−b)2 (a-b)^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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