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34 votes
34 votes
The length of a rectangle is three times the width. The perimeter is 49 units. Find the length.

User Klevison
by
2.1k points

2 Answers

20 votes
20 votes
153=(34)
49+65= 98
56<65
User Karolba
by
3.2k points
8 votes
8 votes

The Solution:

Given:

Let the width be W.

Length: L= 3W

P=perimeter=49

Required:

Find the length.

The Formula:


P=2(L+W)

Substitute:


49=2(3W+W)
\begin{gathered} 49=2(4W) \\ \\ 49=8W \end{gathered}
W=(49)/(8)=6.125\text{ units}

The length is:


L=3(6.125)=18.375\text{ units}

Answer:

18.375 units.

User Rich Hildebrand
by
3.0k points