problem 226 mathcounts

Mathematics
Tutor: None Selected Time limit: 1 Day

Each rectangle in a collection has a length 1 cm more than 3 times the width. What is the maximum possible width of one of these rectangles if its perimeter is less than or equal to 150 cm? Express your answer as a decimal to the nearest tenth.

Oct 5th, 2014

width x

length 3x+1

2(x+3x+1)=150

2(4x+1)=150

8x+2=150

8x=150-2

8x=148

x=148/8

x=18.5

maximum possible width is 18 cms

Oct 5th, 2014

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