Question

Lacinda has 120 ft of fencing to make a rectangular kennel for her dogs. The house is to be used as one side of the kennel. What length will maximize the area of the kennel?

Answer 1

Answer:

1,800$ft^{2}$

Step-by-step explanation:

According to my research, the formula for the Area of a rectangle is the following,

$A = L*W$

Where

1. A is the Area
2. L is the length
3. W is the width

Since the house wall is acting as one side length of the rectangle. We are left with 1 length and 2 width sides. To maximize the Area of the kennel we will need to equally divide the 120 ft of fencing between the Length and Width.

120 / 2 = 60ft

So We have 60 ft for the length and 60 ft for the width. Since the width has 2 sides we need to divide 60 by 2.

60/2 = 30 ft

Now we can calculate the maximum Area using the values above.

$A = 60*30$

$A = 1800ft^{2}$

So the Maximum area we are able to create with 120ft of fencing is 1,800$ft^{2}$

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