Real-Life Quadratic Word Problems: Solve & Translate

A rectangular garden has a length that is 3 meters longer than its width. If the area of the garden is 40 square meters, what are the dimensions of the garden?

• Width: 4 meters, Length: 7 meters

• Width: 5 meters, Length: 8 meters

• Width: 3 meters, Length: 6 meters

• Width: 6 meters, Length: 9 meters

A ball is thrown into the air, and its height in meters can be modeled by the equation h(t) = -4.9t^2 + 20t, where t is the time in seconds. When does the ball hit the ground?

• 4.08 seconds

• 3.2 seconds

• 2.5 seconds

• 6.0 seconds

The product of two consecutive integers is 72. What are the integers?

• 6 and 7

• 9 and 10

• 8 and 9

• 7 and 8

A rectangular pool has a length that is twice its width. If the area of the pool is 100 square meters, what are the dimensions of the pool?

• Width: 10 meters, Length: 20 meters

• Width: 5√2 meters, Length: 10√2 meters

• Width: 2 meters, Length: 4 meters

• Width: 7 meters, Length: 14 meters

A farmer has a rectangular field. The length is 5 meters more than twice the width. If the area of the field is 60 square meters, find the dimensions of the field.

• Width: 5 meters, Length: 15 meters

• Width: 4 meters, Length: 14 meters

• Width: 6 meters, Length: 16 meters

• Width: 3 meters, Length: 11 meters

The area of a triangular plot of land is 24 square meters. If the base is 4 meters longer than the height, what are the base and height of the triangle?

• Base: 12 meters, Height: 8 meters

• Base: 8 meters, Height: 4 meters

• Base: 6 meters, Height: 2 meters

• Base: 10 meters, Height: 6 meters

A rectangular box has a length that is 4 inches longer than its width. If the volume of the box is 48 cubic inches, what are the dimensions of the box?

• Width: 6 inches, Length: 10 inches, Height: 1 inch

• Width: 3 inches, Length: 7 inches, Height: 2 inches

• Width: 4 inches, Length: 8 inches, Height: 1 inch

• Width: 5 inches, Length: 9 inches, Height: 1 inch

The difference between the squares of two consecutive integers is 1. What are the integers?

• 0 and 1

• 2 and 3

• -1 and 0

• 1 and 2

A rectangular piece of land has a length that is 6 meters longer than its width. If the area of the land is 72 square meters, what are the dimensions of the land?

• Width: 8 meters, Length: 14 meters

• Width: 4 meters, Length: 10 meters

• Width: 5 meters, Length: 11 meters

• Width: 6 meters, Length: 12 meters

A rectangular garden's length is 2 meters less than three times its width. If the area of the garden is 50 square meters, what are the dimensions of the garden?

• Width: 4 meters, Length: 10 meters

• Width: 5 meters, Length: 13 meters

• Width: 6 meters, Length: 12 meters

• Width: 5 meters, Length: 15 meters