A 120-m long fence is to be cut into pieces to make three enclosures, each of which is square. How should the fence be cut up in order to minimize the total area enclosed by the fence?

Step-by-step explanation:

Given

total Length of Fence is

this length is divided to three square such that their area is minimum

suppose the side of three squares is x,y and z

Perimeter of squares

thus

thus

Total area

Thus

Using lagrange's multiplying method we get

thus

thus

so fence should be cut into equal parts of 40 cm each

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.