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umka2103 [35]
3 years ago
5

The area of a square is (36d^2 - 360d + 9) in^2.

Mathematics
1 answer:
Ber [7]3 years ago
8 0

Answer:

Step-by-step explanation:

36 d²-36 d+9=9(4d²+4d+1)

=9[4d²+2d+2d+1]

=9[2d(2d+1)+1(2d+1)]

=9(2d+1)(2d+1)

=9(2d+1)²

=[3(2d+1)]²

=(6d+6)²

length=6d+6

perimeter=4(6d+6)=24d+24

when d=2

length=6×2+6=18in

perimeter=4×18=72 in

area=18²=324 in²

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The maximum number of regions possible using eight lines will be 64 regions.

<h3>How to get the value?</h3>

From the information given, one line divides a plane into two regions, two lines can divide a plane into at most four regions. The relationship her is that the square of the number is given.

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