Elizz W.

asked • 09/05/17

what is the length of the rectangle

What is the length of a rectangle if it is 3 meters less than twice the length and the perimeter is 54 meters

Kenneth S.

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09/05/17

Bella F.

P=2L+2W (formula)
 
54=2L+2(2L-3) Plug in the known width)
 
54=2L+4L-6
-6            -6 (Subtract six from both sides)
 
48=2L+4L (Combine Like Terms)
 
48=6L
(48/6)=6L/6 (Divide six from both sides to get variable alone)
 
Length= 8 Meters 
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09/06/17

1 Expert Answer

By:

Tim T. answered • 07/19/19

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Math: K-12th grade to Advanced Calc, Ring Theory, Cryptography

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Greetings! Lets solve this shall we ?


So, we must find the length from the dimensions of this rectangle such that the length is l = 2x - 3 and the width is w = x with a 54 meter perimeter. Then,


2l + 2w = 54

2(2x-3) + 2(x) = 54

4x - 6 + 2x = 54

6x - 6 = 54

6x = 60

width = x = 10 meters


Then plug in the 10 into the length to obtain l = 2(10)-3 = 17 meters.


I hope this helped!

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