Question

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

Answer 1

4

Answer 2

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

Answer 3

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: