?A farmer has 1200 ft of fencing for enclosing a trapezoidal field along a river as

Chapter 4, Problem 14

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QUESTION:

A farmer has 1200 ft of fencing for enclosing a trapezoidal field along a river as shown. One of the parallel sides is three times longer than the other. No fencing is needed along the river. Find the largest area the farmer can enclose.

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QUESTION:

A farmer has 1200 ft of fencing for enclosing a trapezoidal field along a river as shown. One of the parallel sides is three times longer than the other. No fencing is needed along the river. Find the largest area the farmer can enclose.

ANSWER:

Step 1 of 3

Let us assume that the third side is

Since the amount of available fencing is , we can write

Subtract  from both sides

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