Maxine has 40 meters of fencing to build a rectangular pen for her dog. what is the maximum area for the pen? what are the dimensions of the pen?

a rectangle can be a square, but a square cannot be a rectangle.
If I treat this as a square (4 equal sides), I can get the area a lot easier. so 40 meters of fencing/ 4 sides = 10 meters/side

Using Area formula, maximum area = 100 M^2

Answer Link

jainveenamrata jainveenamrata · Answer 2 · 2022-08-18T12:15:46+02:00

The area of the square will be 100 square meters. Then the dimensions of the pen of the rectangle will be 10 by 10 which is a square.

What is the area of the square?

Let a be the side length of the square.

Then the area of the square will be

Area of the square = a² square units

Maxine has 40 meters of fencing to build a rectangular pen for her dog.

For the maximum area of the rectangle, the length and width should be congruent.

40 = 4a

a = 10

Then the area of the square will be

A = 10²

A = 100 square meters

The dimensions of the pen of the rectangle will be 10 by 10 which is a square.

More about the area of the square link is given below.

https://brainly.com/question/1658516

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