Square Area Function: Express Area with Side Length 'a'

A square has a side length of a.

Which function expresses the area of the square?

aaa

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Express the perimeter of the square
00:03 We'll use the formula for calculating the area of a square (side squared)
00:06 We'll substitute the side value according to the given data and calculate to find the area
00:10 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

A square has a side length of a.

Which function expresses the area of the square?

aaa

2

Step-by-step solution

To determine the area of a square given its side length, we utilize the fundamental formula for the area of a square:

  • Step 1: Recall that the area A A of a square with side length a a is given by the formula A=a2 A = a^2 .
  • Step 2: Translate this into a function form, identifying the area as y y .
  • Step 3: Write the function expressing the area: y=a2 y = a^2 .

To conclude, the area of the square can be expressed as the function y=a2 y = a^2 .

Out of the provided choices, the correct expression for the area of the square as a function of the side length a a is Choice 4: y=a2 y = a^2 .

3

Final Answer

y=a2 y=a^2

Practice Quiz

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What is the value of y for the function?

\( y=x^2 \)

of the point \( x=2 \)?

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