problem 226 mathcounts

User Generated

zngutvey13

Mathematics

Description

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.

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Explanation & Answer

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


Anonymous
Awesome! Perfect study aid.

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