SOLUTION: Mr Black is eccentric but rich. He wanted a piece of land. He asked the estate agent to find him a small plot of land but wanted it to be special. He wanted a triangle, with one co

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Mr Black is eccentric but rich. He wanted a piece of land. He asked the estate agent to find him a small plot of land but wanted it to be special. He wanted a triangle, with one co      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 811446: Mr Black is eccentric but rich. He wanted a piece of land. He asked the estate agent to find him a small plot of land but wanted it to be special. He wanted a triangle, with one corner a right angle. The area in square metres must be exactly 10 times the perimeter in metres. The perimeter must be less than 240m. All the side lengths must be integers(whole numbers). What were the dimensions of the plot?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
He wanted a triangle, with one corner a right angle.
The area in square metres must be exactly 10 times the perimeter in metres.
The perimeter must be less than 240m.
All the side lengths must be integers(whole numbers).
What were the dimensions of the plot?
:
The major clue here is the sides of a right triangle have to be integers,
Not many of those
30, 40, 50 comes to mind
p = 120
30*40 = 1200