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?
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Answer:
Tone of communication
Explanation:
Voice tone is really about the feeling behind what you mean. There's no shift in your voice, but the way you speak to someone. If you're angry, you might be brusque; if you're pleased, you might be delighted with your expression.
tone means everything when you speak to someone, for example you can have an angry tone with someone and they will hear and feel the anger. so when talking tone is the key perception when you are talking to someone.
The Kind of file that would be the best to handle the basic calculation would be a spreadsheet.
<h3>What is a spreadsheet?</h3>
This is the term that is used to refer to the file that is made up of rows and columns. The rows and columns are made up of what is referred to as cells. Each cell contains data.
The spreadsheet is used to take care of calculations and helps majorly in statistics and accounting. Examples of spreadsheets are excel.
These sheets are able to carry out computations even up to statistical and engineering calculations. They help to make work faster and make interpretation of work easier.
The use of spreadsheets have kind of helped to make the use of lots of statistical formulas obsolete. This is because the operations are easier and faster when done on the sheets.
Read more on spreadsheets here:
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