Problem |
Solution |
3) Kerry uses 80 meters of fencing to enclose two separate squares each with an integer side length.
The total area of the fenced spaces is 250 square meters. How many times larger is a side of the big
square compared to the small square?
|
Call the side length of the first square s1 and the second s2.
- The equation for the total length of fencing is:
________________________________
- The equation for the total areas is:
________________________________
- This is 2 equations with 2 unknowns
- Turn the first equation into an equation for s1:
s1 = ________________
- Substitute this in the second equation an solve for s2:
s2 = ______
- Substitute back in the first equation and solve for :s1:
s1 = ______
- The ratio of the sides of the 2 squares is ______
|
4) Andre drops a ball from a height of 64 feet. The ratio between any height of drop and subsequent
rise is constant. He records the third bounce reaching a height of 27 feet. What fraction of a drop
distance does the ball reach with each bounce?
|
Use f for the fraction of the previous height that the current height reaches.
- The ball starts at 64 feet
- The first bounce goes to _____ feet <-- an expression involving f
- The second bouce goes to _______ feet
- The third bounce goes to ____ which is 27 feet
- Solve these expressions for f = _____
|
5) Brynn is using a ruler to determine the measurements of her tablet computer's screen. She
measures the tablet to be 8.1 in wide and 10.8 in long. What is the measurement of the diagonal of
her screen?
|
Let d = the length of the diagonal
Using the pythagorean theorem:
    d = ___________ inches.
|