A field along a rivers is to be fenced around $$3$$ sides using a length of rope $$20\ m$$. What is the maximum area and the corresponding dimension of the field?

Open in App

Solution

Verified by Toppr

Was this answer helpful?

Similar Questions

A rectangular field is to be fenced on three sides leaving a side of

20 m

uncovered. If the area of the field is

680 m^{2}

, how many metres of fencing will be required.

View Solution

A given rectangular area is to be fenced off in a field whose length lies along a straight river. If no fencing is needed along the river, show that the lease length of fencing will be required when length of the field is twice of its breadth.

View Solution

A given rectangular area is to be fenced off in a field whose length lies along a straight river.If no fencing is needed along the river,show that the least length of the fencing will be required when length of the field is twice its breadth

View Solution

A campground owner plans to enclose a rectangular field adjacent to a river. The owner wants the field to contain $125, 000$ square meters. No fencing is required along the river. What dimensions (in meters) will use the least amount of fencing?

View Solution

A cow is tied to a corner (vertex) of a regular hexagonal fenced area of side a meters by a rope of length 5a/2 meters in a grass field. (The cow cannot graze inside the fenced area.) What is the maximum possible area of the grass field to which the cow has access to graze?

View Solution