The larger rectangle will be a square with sides of 96 ft while the pens will have 96 ft of length and 31 ft of width
<h3>How to Maximize Area of rectangle?</h3>
The side lengths of the big rectangle are x and y and so we have the following expression for its area A:
A = x*y
This is tied to the constraint that the perimeter should not be larger than the available fencing , Thus;
2x + 2y = 384 (All the fencing is used to maximize the area)
y = (384 - 2x)/2
y = 192 - x
Put 192 - x for y in A to get;
A = x(192 - x)
A = 192x - x²
Completing the square gives;
A = 9216 - (x - 96)²
Thus;
A is maximum at;
x - 96 = 0
x = 96 ft
y = 192 - 96
y = 96 ft
Then since we maximised the area of the bigger rectangle , we have maximised the area of the smaller pens. The dimensions will be;
x_small = 96 ft /3
x_small = 31 ft
y_small = 96 ft
Complete question is;
Building sheep pens: It's time to drench the sheep again, so Chance and Chelsea-Lou are fencing off a large rectangular area to build some temporary holding pens. To prep the males, females, and lambs, they are separated into three smaller and equal-size pens partitioned within the large rectangle. If 384 ft of fencing is available and the maximum area is desired, what will be (a) the dimensions of the larger, outer rectangle? (b) the dimensions of the smaller holding pens?
Read more about maximizing area at; brainly.com/question/14853334
The speaker in "the tropics in New York" weep at the end of the poem because He is overwhelmed with nostalgia for the home of his past.
<h3>Why does the speaker in the tropics in New York weep?</h3>
In "The Tropics in New York," is known to be a poem that tells about the memories of the speaker.
The reason why I think the speaker weeps is that The poet is trying to remembering her homeland and as such, he weeps because she misses it.
Learn more about the poem from
brainly.com/question/20154783
Answer:
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