Area Simple Squares and Square Roots

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

The model shown below has 121 small squares in it. Which best represents the number of small squares along each side of the model?

Coach Sanchez is setting up a court for a game of four-square. He has a square space, with an area of 64 square feet. What is the longest side length Coach Sanchez can make for one side of the court?

• 8 feet

• 7 feet

• 16 feet

• 12 feet

Paula completely covered a square wall using 87.5 ft² of wall paper without any overlap. Which measurement is closest to the side length of this wall in feet?

• 22 ft

• 44 ft

• 9 ft

• 7 ft

Mrs. Harvey planted a square garden with an area of 361 square feet. How long is one side of Mrs. Harvey's garden?

• 19 feet

• 90.25 feet

• 22.56 feet

• 17 feet

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

• 15 units

• 12 units

• 72 units

• 56 units

Callan knows that the area of a square piece of artwork he owns is 289 square inches. Which shows the correct step he should take if he wants to find out the side lengths of the piece of artwork?

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