HW Squares and Square Roots 2023

Elena needs to cut a square piece of wood with an area of 69 square inches. How long should one side of the square be, rounded to the nearest tenth of an inch? (one decimal place.)

Answer explanation

1) Take the square root.

2) Be sure you rounded to the nearest tenth-1 decimal place

Tags

CCSS.6.G.A.1

A square floor rug has an area of 196 square yards. What is the length of one side of the square?

Answer explanation

1) Take the square root.

Tags

CCSS.6.G.A.1

A square window has an area of 154 square inches. How long is one side of the window?

Round to the nearest tenth

Answer explanation

To find the length of one side of the square window, take the square root of the area. √154 ≈ 12.4 inches. Therefore, one side of the window is approximately 12.4 inches.

Tags

CCSS.6.EE.B.7

CCSS.6.G.A.1

You want to carpet a square room that has an area of 60 square feet. What is the length of one side of the room?

Round your answer to the nearest tenth.

Tags

CCSS.6.G.A.1

A square picture frame has an area of 30 square inches. You want to glue ribbon around all 4 edges of the frame.

• 21.9 inches

• 5.48 inches

• 7.5 inches

• 6.2 inches

Tags

CCSS.6.G.A.1

• 22 ft

• 44 ft

• 9 ft

• 7 ft

Answer explanation

To find the side length of the square wall, calculate the square root of 87.5 ft^2, which is approximately 9 ft. Therefore, the closest measurement is 9 ft.

Tags

CCSS.6.G.A.1

• Point M

• Point N

• Point P

• Point Q

Answer explanation

Square root of 92 is closer to 9.5 than 10.

Tags

CCSS.6.NS.C.6

Nixon has a square piece of wrapping paper with a total area of 200 square inches. Which point on the number line below represents the measurement closest to the side length of the piece of wrapping paper?

• Point A

• Point B

• Point C

• Point D

Answer explanation

Find the square root of 200.

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.7

CCSS.6.G.A.1

CCSS.6.NS.C.6

• Point A

• Point B

• Point C

• Point D

Answer explanation

The square root of 3 is in between 1.5 and 2.

Tags

CCSS.6.NS.C.6

A square bulletin board has an area of 20 square feet. If a teacher wants to staple a border on all 4 sides of the board, about how much border will be needed? Round to the nearest tenth (one decimal place).

• 17.8

• 4.5

• 5

• 3

Answer explanation

To find the border length, calculate the square root of the area (20) to get the side length (4.47). Multiply by 4 to get the total border length (17.88), rounded to 17.8.

Tags

CCSS.6.G.A.1