Solving Real-Life Quadratics: Zero Product & Accuracy Check

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: 3 meters, Length: 6 meters

• Width: 6 meters, Length: 9 meters

• Width: 5 meters, Length: 8 meters

• Width: 4 meters, Length: 7 meters

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

• 8 and 9

• 9 and 10

• 7 and 8

• 6 and 7

A ball is thrown upwards from a height of 5 meters. The height of the ball in meters after t seconds is given by the equation h(t) = -5t^2 + 20t + 5. When will the ball hit the ground?

• 5.0 seconds

• 3.5 seconds

• 4.24 seconds

• 2.8 seconds

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

• Width: 5 meters, Length: 10 meters

• Width: 15 meters, Length: 30 meters

• Width: 8 meters, Length: 16 meters

• Width: 10 meters, Length: 20 meters

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

• 0 and 1

• -1 and 0

• 1 and 2

• 2 and 3

A farmer has a rectangular field. The length is 4 meters less than twice the width. If the area of the field is 48 square meters, what are the dimensions of the field?

• Width: 6 meters, Length: 8 meters

• Width: 8 meters, Length: 6 meters

• Width: 4 meters, Length: 10 meters

• Width: 5 meters, Length: 7 meters

The area of a triangle is given by the formula A = 1/2 * base * height. If the base is 3 meters longer than the height and the area is 36 square meters, what are the base and height?

• Base: 10 meters, Height: 4 meters

• Base: 7 meters, Height: 7 meters

• Base: 8 meters, Height: 5 meters

• Base: 9 meters, Height: 6 meters

A number is 5 less than its square. What is the number?

• (1 + √21)/2 or (1 - √21)/2

• 2

• -3

• 4

The sum of the squares of two numbers is 85, and their product is 24. What are the two numbers?

• 7 and 2

• 8 and 1

• 6 and 3

• 5 and 4

A rectangular box has a length that is 2 meters longer than its width. If the volume of the box is 60 cubic meters, what are the dimensions of the box?

• Width: 6 meters, Length: 8 meters, Height: 1 meter

• Width: 5 meters, Length: 7 meters, Height: 2 meters

• Width: 4 meters, Length: 6 meters, Height: 3 meters

• Width: 10 meters, Length: 12 meters, Height: 1 meter