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A rectangular room is 14 meters longer than it is wide, and its perimeter is 88 meters. Find the dimensions of the room. Use x as your variable. Show ALL work! What is the equation?
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17 votes
17 votes
A rectangular room is

14
meters longer than it is wide, and its perimeter is
88
meters. Find the dimensions of the room. Use x as your variable. Show ALL work!

What is the equation?

User Andersjanmyr
by
2.5k points

1 Answer

22 votes
22 votes
Perimeter of a Rectangle: 2L + 2W or 2(L + W)
Perimeter: 88 (Given)
Length: Width - 14 (Given)
Width: x

88 = 2(x - 14) + 2(x)
88 = 2x - 28 + 2x
88 = 4x - 28
88 + 28 = 4x - 28 + 28
116 = 4x
116/4 = 4x/4
29 = x

We know:
Width = 29 meters
Length = 29 - 14 = 15 meters

Check:
88 = 2(29 + 15)
88 = 88
User Phylis
by
2.8k points
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