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The perimeter of a rectangle is 245 feet. The short sides are each 30 feet long, but the lengths of the long sides are unknown. What equatio
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The perimeter of a rectangle is 245 feet. The short sides are each 30 feet long, but the lengths of the long sides are unknown. What equation represents this situation?
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Mathematics
6 months
2021-07-19T08:32:35+00:00
2021-07-19T08:32:35+00:00 1 Answers
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Answer:
2(30) + 2x = 245
Step-by-step explanation:
As u know a rectangle has four sides, two equally long sides and two equally short sides. If each of the short sides are 30, that means 30 times 2 adding the 2 missing long sides would equal 245. So the long sides are going to be represented with x in this equation:
2(30) + 2x = 245
To make sure our equation is right, lets try solving it:
2(30) + 2x = 245
60 + 2x = 245
subtract 60 from both sides
2x = 185
x = 92.5
Now put 92.5 in the equation instead of x to confirm:
2(30) + 2(92.5) = 245
60 + 185 = 245
245 = 245