Exploring Radical Equations in Real-Life Scenarios

A square garden has an area of 144 square feet. What is the length of one side of the garden?

• 12 feet

• 16 feet

• 10 feet

• 14 feet

The length of a rectangular pool is 5 feet longer than its width. If the area of the pool is 60 square feet, what are the dimensions of the pool?

• Width: 4 feet, Length: 9 feet

• Width: 5 feet, Length: 10 feet

• Width: 6 feet, Length: 11 feet

• Width: 7 feet, Length: 12 feet

A triangle has a height of 6 feet and a base that is 2 feet longer than the height. What is the length of the base?

• 8 feet

• 4 feet

• 10 feet

• 6 feet

The sum of the square of a number and 16 is 100. What is the number?

• ±4√5

• ±3√7

• ±2√21

• ±5

A car travels a distance of 50 miles at a speed of x miles per hour. If the time taken is 2 hours, what is the value of x?

• 20

• 30

• 40

• 25

The perimeter of a square is 40 meters. What is the length of one side of the square?

• 5 meters

• 15 meters

• 10 meters

• 20 meters

A rectangular field has a length that is twice its width. If the area of the field is 200 square meters, what are the dimensions of the field?

• Width: 5 meters, Length: 15 meters

• Width: 12 meters, Length: 24 meters

• Width: 10 meters, Length: 20 meters

• Width: 8 meters, Length: 16 meters

The difference between the square of a number and 9 is 0. What is the number?

• 3 and -3

• 4

• 2

• -2

A ladder is leaning against a wall. The foot of the ladder is 3 feet away from the wall, and the ladder is 5 feet long. How high up the wall does the ladder reach?

• 3 feet

• 4 feet

• 6 feet

• 2 feet

The area of a circle is 50 square meters. What is the radius of the circle?

• 3.99 meters

• 4.5 meters

• 5.6 meters

• 2.5 meters