Calculate Areas of Three Squares: 3x3, 6x6, and 4x4 Units in Notation Form

In the figure in front of you there are 3 squares

Write down the area of the shape in potential notation

333666444

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Step-by-step video solution

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00:00 Write down the area of the shape in powers notation
00:03 We'll write the formula for the entire shape's area
00:06 In squares all sides
00:09 We'll use the formula for calculating square area (side times side)
00:13 We'll do this for each square and sum up the areas
00:26 A power is writing a number multiplied by itself several times:
00:30 Therefore we'll convert multiplication to power
00:34 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

In the figure in front of you there are 3 squares

Write down the area of the shape in potential notation

333666444

2

Step-by-step solution

Using the formula for the area of a square whose side is b:

S=b2 S=b^2 In the picture, we are presented with three squares whose sides from left to right have a length of 6, 3, and 4 respectively:

Therefore the areas are:

S1=32,S2=62,S3=42 S_1=3^2,\hspace{4pt}S_2=6^2,\hspace{4pt}S_3=4^2 square units respectively,

Consequently the total area of the shape, composed of the three squares, is as follows:

Stotal=S1+S2+S3=32+62+42 S_{\text{total}}=S_1+S_2+S_3=3^2+6^2+4^2 square units

To conclude, we recognise through the rules of substitution and addition that the correct answer is answer C.

3

Final Answer

62+42+32 6^2+4^2+3^2

Practice Quiz

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\( 112^0=\text{?} \)

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