Squares and Square Roots

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?

• $289\div2$

• $289\div4$

• $289^2$

• $\sqrt{289}$

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

The area of a square is 117 square meters. Which best represents the length of a side of the square? 

• 10.8 m
• 11 m
• 10 m
• 11.2 m

The area of a square is 100 cm².  What is the perimeter?

• 25 cm
• 10 cm
• 40 cm
• 50 cm

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

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 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

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

All the following are Perfect Squares except for which one?

• 81
• 121
• 361
• 198