Question

Carlo has an 8 cm square piece of paper. He folds the square into 4 congruent squares. What is the area of each square?

Answer 1

Answer:

Each congruent square has an area of of $16cm^{2}$

Step-by-step explanation:

As

Carlo has an 8 cm square piece of paper. i.e. $l=8$ cm

The total area of 8 cm square piece of paper can be computed using the formula:

$A=\ell ^{2}$

$A=8^{2}$

$A=64$ $cm^{2}$

After folding the square into 4 congruent squares. The area of each square can be computed by dividing the total area of 8 cm square piece of paper by 4.

i.e.

$\frac{64}{4}=16$ $cm^{2}$

So, each congruent square has an area of of $16cm^{2}$

When the area of all these 4 congruent squares is combined

i.e. $16+16+16+16=64 cm^{2}$ which is the total area of 8 cm square piece of paper.

Therefore, each congruent square has an area of of $16cm^{2}$

Keywords: area of square, congruent squares

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