Word Problems - lc.wnlsd.calc.wnlsd.ca/~jeff.strowbridge/FOV1-00028D98/6QUADWor… · Web viewAn osprey dives toward the water to catch a salmon. Its height above the water, in

Word Problems

Quadratic Equations

Mathematics 3204/05 Public Exam Questions Quadratic Word Problems

1. A rectangular garden has a perimeter of 140m and an area of 1200m2. Set up a quadratic equation and solve it algebraically to find the dimensions of the garden.

2. A paper airplane follows a parabolic path with , where h is height in metres, and t is time in seconds. Algebraically determine how long it takes for the paper airplane to hit the ground.

3. A rectangular pool measures 10m by 5m. A deck, of uniform width, is to be built all the way around the pool such that the total area of the pool and deck will be . Set up and solve a quadratic equation to determine the width of the deck.

4. A photograph 8 cm by 11 cm will be framed as shown in the diagram. The combined area of the frame and photograph will be 180 cm2. Algebraically determine the outside dimensions of the frame.

5. A school playground is rectangular and has a length of 50 m and a width of 30 m as shown. A safety zone of uniform width surrounds the playground. If the area of the safety zone equals the area of the playground, what is the width of the safety zone?

Labrador School Board 2007-200877


6. A baseball player hits a ball into the air. The ball’s height above the ground, in metres, t seconds after being hit, is approximated by . Algebraically determine the time when the ball first reaches a height of 9 m.

7. A rectangular rug 4 m by 2 m is placed in a room with floor area 24 m2 such that a strip of bare floor of uniform width surrounds the rug. Set up a function which models this situation and use it to algebraically determine the width of the strip of bare floor.

8. An osprey dives toward the water to catch a salmon. Its height above the water, in metres, t seconds after it begins its dive, is approximated by . Algebraically determine the time it takes the osprey to reach a return height of 20 m as shown.



9. A square is transformed into a rectangle by increasing the length by 8 m and the width by 5 m. If the area of the resulting rectangle is 108 m2, algebraically determine the length of each side of the original square.

10. A toy rocket is launched in the air from a launcher located 6 m above the ground. The rocket’s path is described by where h(t) is the height of the rocket above the ground t seconds after launch. How long is the rocket in the air?

11. A rectangular swimming pool has length 30 m and width 20 m. There is a deck of uniform width surrounding the pool. The area of the pool is the same as the area of the deck. Write a quadratic equation to model this situation and use it to determine the width of the deck.



Answers

1. 30 m by 40 m

2. 6 seconds

3. 4 m

4. 12 cm by 15 cm

5. 15.7 m

6. After 1 second

7. 2 m

8. 5 seconds

9. 4 m

10. 3 seconds

11. 5 m


Word Problems - lc.wnlsd.calc.wnlsd.ca/~jeff.strowbridge/FOV1-00028D98/6QUADWor… · Web viewAn osprey dives toward the water to catch a salmon. Its height above the water, in

Documents