in the measure of each side of a square is doubled, its area increases how many times?

Question

anonymous · Answer

4

aripotta · Answer

4 times. you square the amount you changed the dimensions.

for example, doubling each side: 2^2 = 4. so the area is 4 times the original

also, tripling each side: 3^2 = 9. so the area would be 9 times the original

anonymous · Answer

Let's look at the equation of a square:
$$area = side^2$$

If we double a side, then we get:

$$area = 2side^2$$

2^2 is equal to 4, so the area will increase by a factor of 4.

Think about the picture of what will happen as well:
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