Question

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?

Answer 1

2(30) + 2x = 245

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