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geniusboy [140]
3 years ago
7

Jamie wants to build a rectangular fence around a new chicken pen he can afford at most 70 ft long of fencing and must fit the p

en in a space that is 10 ft by 2"12 ft could the pen measure 9ft by 22ft why or why not
Mathematics
2 answers:
Sophie [7]3 years ago
6 0

Using the perimeter of a rectangle, it is found that:

With these dimensions, the pen would have a <u>greater perimeter than the space</u>, thus the pen could not measure 9ft by 22ft.

---------------------

The perimeter of a <u>rectangle of length l and width w</u> is given by:

P = 2(l + w)

---------------------

  • The space has dimensions of 10 ft by 2''12ft = 12.17ft. Thus, the <em>perimeter </em>is, in feet:

P = 2(10 + 12.17) = 2(22.17) = 44.34

---------------------

  • The pen, with dimensions of 9ft by 22ft, will have a <em>perimeter, </em>in feet,<em> </em>of:

P = 2(9 + 22) = 2(31) = 62

With these dimensions, the pen would have a <u>greater perimeter than the space</u>, thus the pen could not measure 9ft by 22ft.

A similar problem is given at brainly.com/question/10489198

DiKsa [7]3 years ago
3 0

“No; (9, 22) is a solution to the system of inequalities, but 22 ft is too long to fit in the space.”

i chose this answer choice and got points for it :)

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