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

Question

In the figure in front of you there are 3 squares

Write down the area of the shape in potential notation

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

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

$S=b^2$ 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:

$S_1=3^2,\hspace{4pt}S_2=6^2,\hspace{4pt}S_3=4^2$ square units respectively,

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

$S_{\text{total}}=S_1+S_2+S_3=3^2+6^2+4^2$ square units

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

$6^2+4^2+3^2$