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# Quadratic Equations (Word Problems Part 2)

- 1The hypotenuse of a right triangle is 25 cm. The sum of the lengths of the other two sides is 30 cm. Find the lengths of the the sides.
- 2The hypotenuse of a right triangle is 15 cm. The sum of the lengths of the other two sides is 21 cm. Find the lengths of the the sides.
- 3A rectangular garden measuring 7m by 4 m is to be doubled in area by extending two adjacent sides by the same amount. By how much should each side be extended?
- 4A deck of uniform width is to be built on two adjacent sides on a pool. The dimensions of the pool are 10m by 9m. If the total area of the pool and deck is 150$m^2$, what is the width of the deck?
- 5A picture measuring 5cm by 7cm is to be surrounded by a matte of uniform width. If the area of the matte is equal to the area of the picture, How wide is the matte?
- 6A picture measuring 10cm by 8cm is to be surrounded by a matte of uniform width. If the area of the matte is 50% of the area of the picture, How wide is the matte? $$ $$ Good test question!
- 7A photograph measuring 10cm by 12cm is to be cropped by an equal amount on all sides. If 50$cm^2$ was removed, what are the dimensions of the cropped photograph?
- 8A photograph measuring 15cm by 12cm is to be cropped by an equal amount on all sides. If half the area was removed, what are the dimensions of the cropped photograph?
- 9The equation shows the height (h) of a baseball in metres as a function of time (t) in seconds. $$ h=-5t^2+40t+3$$

a) What was the initial height of the ball?

b) At what time does the ball hit the ground? - 10The equation shows the height (h) of a baseball in metres as a function of time (t) in seconds. $$ h=-5t^2+35t+2$$

a) What was the initial height of the ball?

b) At what time does the ball hit the ground? - 11A shop usually sells 100 magazines for \($\)8.00 each. For every 40 cent decrease in price, they sell 10 more magazines. What should the selling price be in order to have a revenue of \($\)864 ?

$$e=mc^2$$