# Algebra: Word Problems on Fencing

1)A rancher is going to construct a new rectangular pen for his emu farm. If he has 2600 feet of fencing, what is the maximum area of the pen?

____ft^2

2)A farmer is fencing a rectangular pen for his sheep using the straight portion of a river as one side of the rectangle. If the farmer has 1200 feet of fencing, find the dimensions of the rectangle that gives the maximum area of the pen.

shorter side:____ft

longer side:____ft

3)A baseball is hit straight upwards with an initial velocity of 92 feet per second and leaves the bat at an initial height of 4 feet. Write a formula, s(t), that models the height of the baseball after t seconds.

s(t)=

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#### Solution Preview

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Problem1:

A rancher is going to construct a new rectangular pen for his emu farm. If he has 2600 feet of fencing, what is the maximum area of the pen?

____ft^2

Solution:

A square gives the maximum area of any rectangle of fixed perimeter.

Any rectangle must have a length L and a width W. For the ...

#### Solution Summary

This solution is comprised of detailed step-by-step calculations and explanation of the given problems and provides students with a clear perspective of the underlying concepts of Algebra.