WILL GIVE BRAINLEST PLEASE SHOW YOUR WORK A company that makes square tiles would like to make a square tile that has 4 times the area of their smaller tiles. If their smaller tiles have a perimeter of 16 inches, what will be the perimeter of their larger tile?

The perimeter will be 32 inches

Step-by-step explanation:

- 16 divided by 4 (for each side of square) = 4 inches

- To work out area, we times two sides together 4 * 4

- The area of the smaller tiles is 16 inches squared.

- Times area by 4 for tile that is 4x bigger, 16 * 4 = 64 inches squared. (which you can see is 4 times bigger as 4 * 16 = 64)

- The formula for an area of a square is side * side

- So we need a number that equals 64 when multiplied by itself

- 8 * 8 = 64

- To find perimeter we add up the sides 8 + 8 + 8 + 8 = 32 inches

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~