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lana [24]
3 years ago
6

The length of a rectangle is 10 meters more than the width. If the perimeter is 184 meters, what are the length and the width?

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
3 0
Perimeter = (2 × Length) + (2 × Width)

If the length is dependent on the width (because the length is 10 more than the width), we can say that L = W + 10.

To find the answer to the Peri, we have to find out what the W is first.

184 = 2(W + 10) + 2W
184 = 2W + 20 + 2W
184 = 4W + 20
184 - 20 = 4W = 164
164 ÷ 4 = W
41 = W

We have found out width. Our length is W + 10, so L = 41 + 10 = 51

W = 41 and L = 51


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Note:  If the answer were "8 1/3" ; 

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      → "8 1/3 + 2/3 = 8  3/3 = 8 + 1 = 9 = only "9" ;
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 So, the answer is:  "8  2/3" .
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Another method:
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Note that:  "2/3 = 1/3 + 1/3"
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   Start with:  "</span>9 1/3 - 2/3" = 9.  Then 9 - 1/3 = 8 3/3 - 1/3 = 8 2/3.
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</span>Another method:
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Given the problem:  
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  Convert "9 1/3" into "28/3" ;  ("3*9 = 27"); ("27+1=28");
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3 0
3 years ago
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Hope that helps :)
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