The rectangular field
pictured has unknown dimensions. Tom and Paul are both at point A. Tom
walks straight from A to C. To get a drink, Paul walks from A to B, then
from B to C. How far does Paul walk if he travels 40 yards farther than
Tom? What are the dimensions of the field?
Solve/Investigate the Problem
I plan to set up a system of
equations to solve this problem.
of the Problem
I first set up two equations. The
first one is based on the distanced walked by Tom and Paul. The second equation
is based on the Pythagorean theorem.
AB + BC = AC + 40
(AB)² + (BC)² = (AC)²
I realized that I had 2 equations
with 3 variables and this would be difficult to solve. Next I began to think
of Pythagorean triples I knew to see if they would work. After trying a few,
I took 3,4, and 5 and began listing the triples I would
get by multiplying by 2,3,4,5…..until I reached a solution.
The solution I found was 60, 80 and 100.
Author & Contact
Insert name and contact information.
Important Note: You should compose your write-up
targeting an audience in mind rather than just the instructor for the
You are creating a page to publish it on the web.