Exploring Quadratic Equations in Real-Life Scenarios

A rectangular garden has an area of 144 square meters. If the length of the garden is twice its width, what are the dimensions of the garden?

• Width: 6√2 meters, Length: 12√2 meters

• Width: 8 meters, Length: 16 meters

• Width: 10 meters, Length: 20 meters

• Width: 4√2 meters, Length: 8√2 meters

A ball is thrown upwards from a height of 16 meters with an initial velocity of 24 meters per second. How long will it take for the ball to hit the ground?

• 5.00 seconds

• 3.50 seconds

• 6.25 seconds

• 4.12 seconds

The area of a square plot is 225 square meters. What is the length of one side of the plot?

• 20 meters

• 10 meters

• 12 meters

• 15 meters

A car's distance from a starting point can be modeled by the equation d = t^2 - 4t, where d is the distance in meters and t is the time in seconds. When will the car be at the starting point again?

• 8 seconds

• 2 seconds

• 6 seconds

• 4 seconds

A swimming pool is in the shape of a square. If the area of the pool is 256 square meters, what is the length of one side of the pool?

• 12 meters

• 16 meters

• 20 meters

• 14 meters

The height of a projectile is modeled by the equation h = -5t^2 + 20t + 15, where h is the height in meters and t is the time in seconds. When will the projectile reach a height of 0 meters?

• 3 seconds

• 7 seconds

• 5 seconds

• 10 seconds

A square garden has an area of 81 square meters. What is the length of each side of the garden?

• 12 meters

• 10 meters

• 7 meters

• 9 meters

A rectangular field has a length that is 3 meters longer than its width. If the area of the field is 70 square meters, what are the dimensions of the field?

• Width: 6 meters, Length: 9 meters

• Width: 5 meters, Length: 8 meters

• Width: 7 meters, Length: 10 meters

• Width: 8 meters, Length: 11 meters

A rock is dropped from a height of 64 meters. How long will it take for the rock to reach the ground?

• Approximately 10.8 seconds

• Approximately 3.6 seconds

• Approximately 1.2 seconds

• Approximately 5.0 seconds

The area of a triangular park is 50 square meters, and its base is 10 meters. What is the height of the park?

• 10 meters

• 5 meters

• 20 meters

• 15 meters