Answer to Question #993 in Geometry for Priti

Question #993
There is a square field of side 500 m long each. It has a compound wall along its perimeter. At one of its corners, a triangular area of the field is to be cordoned off by erecting a straight-line fence. The compound wall and the fence will form its borders. If the length of the fence is 100 m, what is the maximum area that can be cordoned off?
Expert's answer
The fence with compound wall are forming a right triangle with hypothenuse of 100 m.
It can be easily prooved that the maximum area would be with two equal legs, thus the length of each of them is
We can write the square of such triangle as
1/2*(cathetus-length)2 = 1/2 (100/√2)2 = 10,000 m2

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!


No comments. Be first!

Leave a comment

Ask Your question

New on Blog