Area and Perimeter of Square Roots

What is the perimeter of a square with a side of 3?

• 9

• 12

• 6

• 24

If I know the area of a square, how do I find the side length?

• I square the area.

• I divide the area by 2.

• I take the square root of the area.

• I divide the area by 4.

What is the perimeter of a square that has an area of 81?

• 9

• 36

• 18

• 81

• A

• B

• C

• D

The model can be used to represent the area of a square with a side length of √4 units. What is another to represent the side length of this square?

• 16

• 4

• 2

The model represents √16 = 4. Which arrangement of small squares can be used to model a large square that represents √169 ?

• 4 rows of 49 squares

• 13 rows of 13 squares

• 5 rows of 25 squares

• 12 rows of 12 squares

A square has an area of 225, what is the length of the side?

• 15 units

• 12 units

• 72 units

• 56 units

The model represents √81 = 9. Which arrangement of small squares can be used to model the side length of a large square that represents √49 ?

• 12

• 7

• 8

• 11

The model shown has an area of 196 units². Which best represents, x, the number of units along each side of the model?

• 49

• 7

• 14

• 16

The diagram shows Sam's backyard divided into three square areas. If Sam only wants to fence the perimeter to make one big back yard, how much fencing will he need to buy?

• 12 feet

• 96 feet

• 36 feet

• 144 feet