Answered

25. To make an enclosure for chickens, a rectangular
area will be fenced next to a house. Only three sides
will need to be fenced. There is 120 ft of fencing
material.
X
a. What quadratic function represents the area of the
rectangular enclosure, where x is the distance from the house?



Answer :

sqdancefan

Answer:

  y = x(120 -2x)

Step-by-step explanation:

You want the quadratic function representing the area of a rectangular enclosure such that three sides of it have a total length of 120 feet.

Area

The dimension perpendicular to the house is given as x. There are two length of fence with that dimension, so the remaining fence is (120 -2x). This is the length that can be used parallel to the house.

The area (y) is the product of the dimensions of the enclosure:

  y = x(120 -2x)

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