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Sveta_85 [38]
3 years ago
12

Prove that 3: 8 is equivalent to 12: 32

Mathematics
1 answer:
Kazeer [188]3 years ago
6 0
3:8 can also be written as 3/8

12:32 can also be written as 12/32

\frac{12}{32} = \frac{3\times 4}{8\times 4} = \frac{3}{8}

So thus 3:8 is equivalent to 12:32
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Please find the attached file for a better understanding of the solution provided here:

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Now, we know that the length is 8 yards shorter than twice it's width. Thus,

l=2w-8

Now the area of the region, A'B'QP will be: length x width. Now, the length here is l+6+6=2w-8+12=2w+4 and width is 6.

Thus, area of the region A'B'QP is (2w+4)x6=12w+24

Likewise, the area of the region D'C'RS will similarly be 12w+24 too.

Now, the area of the region BB'C'C will be 6 x w=6w

Similarly, the area of the region AA'D'D will be 6 x w=6w

Therefore, the total area of the walk way will be:

2(12w+24)+2\times 6w=570

24w+48+12w=570

36w+48=570

\therefore w=14.5

Therefore, length, l will be:

l=2w-8=2\times 14.5-8=29-8=21

Therefore, the dimensions of the swimming pool are:

Length, l= 21 yards and Width, w=14.5 yards


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