CAT Exam

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?

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2500 sq mtrs

For max area of a rt angled triangle with a fixed hypotenuse, base and height should be equal.

say base = height = s
then
s^2+s^2= 100^2
s^2= 0.5 *(100)^2

area of triangle = 1/2 *s*s = (1/4)*(100)^2= 50^2 = 2500 sq mtrs
12 years agoHelpfull: Yes(0) No(2)

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