Mastering Quadratics: Solve & Interpret Word Problems

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

• 12 meters

• 14 meters

• 16 meters

• 10 meters

The height of a ball thrown into the air can be modeled by the equation h(t) = -16t^2 + 64t, where h is the height in feet and t is the time in seconds. How high does the ball go at its peak?

• 80 feet

• 48 feet

• 32 feet

• 64 feet

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

• Width: 8 meters, Length: 11 meters

• Width: 7 meters, Length: 10 meters

• Width: 6 meters, Length: 9 meters

• Width: 5 meters, Length: 8 meters

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

• 10 feet

• 20 feet

• 12 feet

• 15 feet

A rock is dropped from a height of 80 feet. The height of the rock above the ground can be modeled by the equation h(t) = -16t^2 + 80. How long will it take for the rock to hit the ground?

• 4.5 seconds

• 3.0 seconds

• 2.24 seconds

• 1.5 seconds

A rectangular garden has a length that is twice its width. If the area of the garden is 50 square meters, what is the width of the garden?

• 10 meters

• 7 meters

• 2.5 meters

• 5 meters

The area of a square is 64 square inches. What is the length of one side of the square?

• 6 inches

• 10 inches

• 12 inches

• 8 inches

A ball is thrown upwards from a height of 5 feet with an initial velocity of 20 feet per second. The height of the ball can be modeled by the equation h(t) = -16t^2 + 20t + 5. What is the maximum height the ball reaches?

• 12 feet

• 10 feet

• 11.25 feet

• 9.5 feet

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

• 10 meters

• 12 meters

• 16 meters

• 14 meters

The area of a circular pond is 50π square meters. What is the radius of the pond?

• 4 meters

• 6 meters

• 7√2 meters

• 5√2 meters