A rectangle has perimeter 182 in. and length 52 in. What is the width?

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Answer 1 · 2017-09-08T17:21:43

#color(blue)(39)#

Since the perimeter is the sum of the lengths of the sides and a rectangle has 2 pairs of sides.

If length of 1 side is 52, then length of opposite side is also 52.
If unknown side is #x#

we have perimeter = (2 x 52) + 2#x = 182#

Solving for #x#:

#104 + 2x = 182#

Subtract #104# from both sides:
#2x = 78#
Divide both sides by #2#

#x = 39#

So width is #color(blue)(39)#