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28 votes
A rectangle has a width of 42 centimeters and a perimeter of 172centimeters. What is the rectangle's length?

User Girdeux
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1 Answer

20 votes
20 votes

44 centimeters

The perimeter P of a rectangle is given as

P = 2(L + B) where L and B are the length and width respectively

Hence given that the perimeter is 172 centimeters and the width is 42 centimeters,

172 = 2(L + 42)

Divided both sides by 2

172/2 = 2(L + 42)/2

86 = L + 42

Subtract 42 from both sides

86 - 42 = L + 42 - 42

44 = L

The length of the rectangle is 44 centimeter

User Andybuckley
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