Perfect Squares and Square Roots

Digital pictures are made up of pixels (colored dots). This square computer image has an area of 676 pixels. How many pixels tall is the icon?

• 338 pixels

• 169 pixels

• 26 pixels

• 19 pixels

Maria’s family bought a house that has a square pool in the back yard. The pool is has a side length of 23 feet. What is the area of the pool?

• 529 ft²

• 4.8 ft²

• 46 ft²

• 92 ft²

A desktop organizer that is shaped like a cube has a volume of 1728 cubic cm, and each side has an area of 144 square cm. What is the height of the side of the organizer that is magnetized to hold paper clips?

• 864 cm

• 72 cm

• 41.6 cm

• 12 cm

For high school wrestling competitions, the wrestling mat must be a square with an area of 1444 square feet. What is the length of each side of the wrestling mat?

• 361 feet

• 38 feet

• 722 feet

• 12.2 feet

Robert has decided to grow peppers in his back yard garden so that he can enter the contest for the hottest salsa in San Antonio. He is going to grow jalapenos, serrano, habanero, and ghost peppers. If his garden is perfectly square and has an area of 289 square feet, how long is each side of the garden?

• 72.3 feet

• 144.5 feet

• 83,521 feet

• 17 feet

Jessica used chalkboard paint to create a square section on her wall that she could use to write notes and draw pictures. If each side length is 14 feet, how many square feet will she need to cover with paint?

• 26.7 ft²

• 196 ft²

• 3.7 ft²

• 28 ft²

Destiny sewed a quilt for her baby niece. She used a solid piece of fabric on the back of the quilt, and she attached the smaller squares to the front of the quilt. The area of the piece of fabric on the back of the quilt is 16 square feet. What is the length of each side of the square in feet?

• 32 feet

• 256 feet

• 8 feet

• 4 feet

A window shaped like a square is in direct sunlight for most of the day. In order to save money, the homeowners decided to tint the window. If each side of the window is 11 feet long, how many square feet of tint will the homeowners need to buy?

• 121 feet²

• 3.3 feet²

• 22 feet²

• 44 feet²