Calculate the Area of Square ABCD: Geometric Expression Problem

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
00:00 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)
00:16 We'll substitute appropriate values and solve to find the area
00:22 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:

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=(6+4x)2 S=(6+4x)^2

3

Final Answer

(6+4x)2 (6+4x)^2

Practice Quiz

Test your knowledge with interactive questions

Given the square:

777

What is the area of the square?

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