A rectangle has a perimeter of 28 inches. The length of one pair of sides is 8 inches per side. What is the length of each of the other sides?

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Answer 1 · 2018-05-23T23:01:44

The lengths of the other sides are #6# inches each.

The formula for a rectangle's perimeter is:

#P_"perimeter"=(2*l) +(2*w)#

You are given that the length of one pair of sides is #8# each, so let's call that:

#l=8#

You are also give that the perimeter is #28#, so let's set:

#P=28#

Now, insert those into our formula:

#P=(2*l) +(2*w)#

#28 = (2*8) + 2w#

#28=16+2w#

#12=2w#

#6=w#