Radical Expressions and Equations in Real-Life Scenarios

A gardener is planting a square flower bed. If the area of the flower bed is 64 square feet, what is the length of one side of the bed?

• 8 feet

• 10 feet

• 6 feet

• 12 feet

Tags

CCSS.8.EE.A.2

The volume of a cube is given by the formula V = s³, where s is the length of a side. If the volume of a cube is 125 cubic inches, what is the length of one side of the cube?

• 5 inches

• 7 inches

• 3 inches

• 10 inches

Tags

CCSS.8.EE.A.2

A swimming pool is in the shape of a square. If the area of the pool is 144 square meters, what is the length of one side of the pool?

• 14 meters

• 12 meters

• 16 meters

• 10 meters

Tags

CCSS.8.EE.A.2

A rectangular garden has a length that is 3 feet longer than its width. If the area of the garden is 50 square feet, what is the width of the garden?

• 5 feet

• 7 feet

• 4 feet

• 6 feet

The height of a right triangle is represented by the equation h = √(b² - 16), where b is the length of the base. If the base of the triangle is 20 feet, what is the height of the triangle?

• 19.6 feet

• 18.0 feet

• 22.0 feet

• 15.4 feet

Tags

CCSS.HSA.REI.A.2

A square plot of land has a perimeter of 48 meters. What is the length of one side of the plot?

• 14 meters

• 16 meters

• 12 meters

• 10 meters

Tags

CCSS.4.MD.A.3

A rectangular box has a volume of 216 cubic centimeters. If the length and width are both equal to 6 cm, what is the height of the box?

• 10 cm

• 6 cm

• 8 cm

• 4 cm

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

The area of a circle is given by the formula A = πr². If the area of a circular garden is 50π square feet, what is the radius of the garden?

• 15

• 10

• 5√2

• 5

Tags

CCSS.8.EE.A.2

A right triangle has legs of length x and 12. If the hypotenuse is 20, what is the value of x?

• 16

• 10

• 14

• 18

Tags

CCSS.8.G.B.7