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The right triangle represents a plot of land with the dimensions shown. A rectangular dog kennel is to:

A) Maximize the area of the kennel.
B) Minimize the perimeter of the kennel.
C) Construct the kennel with the highest walls.
D) Determine the volume of the kennel.
Please select the correct option.

User Ryszard
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1 Answer

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Final answer:

To maximize the area of the kennel, make it a square. To minimize the perimeter, make it a long and narrow rectangle.

Step-by-step explanation:

To maximize the area of the kennel, we need to find the dimensions of the kennel that will give us the largest possible area. Since the kennel needs to be rectangular, the largest area will be obtained when the kennel is a square. So, to maximize the area, the dimensions of the kennel should be equal, making it a square.

To minimize the perimeter of the kennel, we need to find the dimensions that will give us the smallest possible perimeter. The smallest perimeter will be obtained when the kennel is a rectangle with one side as small as possible. So, to minimize the perimeter, the kennel should be a long and narrow rectangle.

The height of the kennel walls is not mentioned in the question, so we cannot determine if the kennel should have high walls or not. Finally, since the volume of the kennel is not relevant to the question, we do not need to determine it. Therefore, the correct option is B) Minimize the perimeter of the kennel.

User Colliot
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