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 Please help with a linear word problem. Can I multiply centimeters with normal 3?

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The length of a rectangle is 3 centimeters more than 3 times the width. If the perimeter of the rectangle is 46 centimeters, find the dimension of the rectangle.

 

a) L = 5cm; W = 18cm

 

b) L = 13cm; W = 8cm

 

c) L = 13cm; W = 5cm

 

d) L = 18cm; W = 5cm

 Oct 3, 2020
edited by SmartMathMan  Oct 3, 2020

3+0 Answers

 #1
avatar+241 
+3

The perimeter of the rectangle would be:

L + W + L + W = 46

We know the convertion from L to W, so we change that:

(3 + 3W) + W + (3 + 3W) + W = 46

Simplify:

3 + 3 + 8W = 46

8W = 40

W = 5cm

Plug back in to find L:

2(5) + 2L = 46

2L = 36

L = 18cm

 Oct 4, 2020
 #2
avatar+1443 
+1

Thank You!

SmartMathMan  Oct 4, 2020
 #3
avatar+241 
+1

no problem! wink

Weiart000  Oct 9, 2020

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