Let s represent the length of any one side of the original square. The longer side of the resulting rectangle is s + 9 and the shorter side s - 2.
The area of this rectangle is (s+9)(s-2) = 60 in^2.
This is a quadratic equation and can be solved using various methods. Let's rewrite this equation in standard form: s^2 + 7s - 18 = 60, or:
s^2 + 7s - 78 = 0. This factors as follows: (s+13)(s-6)=0, so that s = -13 and s= 6. Discard s = -13, since the side length cannot be negative. Then s = 6, and the area of the original square was 36 in^2.
Translating the words into formula, we have
In fact, we have that the pay rate is the total payment divided by the number of hours worked.
We can solve this formula for w in two steps: starting from the formula above, multiply both sides by w:
And then divide both sides by r:
Okay so for each person we're pretty much gonna have to find the value of strokes over holes.
Rory: 42 strokes per 9 holes
Jordan: 79 strokes per 18 holes
Ricky: 123 strokes per 27 holes
Now, we can do the division for each person and round. But first, I'll say stokes per hole is s/h. Just feed each number into a calculator like this: <em>per </em>means divide.
Rory: 4.66667 s/h
Jordan: 4.38889 s/h
Ricky: 4.55556 s/h
Well, Jordan had the lowest number of strokes per hole since his value is the smallest.
Answer: Jordan
