Quadratic Equations (Word Problems Part 2)

  1. 1
    The 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.
  2. 2
    The 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.
  3. 3
    A 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?
  4. 4
    A 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?
  5. 5
    A 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?
  6. 6
    A 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!
  7. 7
    A 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?
  8. 8
    A 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?
  9. 9
    The 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?
  10. 10
    The 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?
  11. 11
    A 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 ?

$$e=mc^2$$