book Maths Puzzle Numerical Ability

Solve for L S=2WL+2LH+2WH

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Hi there,

I don't get this problem with extraneous solutions at all! Could someone please help me work out this problem before class?
2m / 5 = 3m / 2

Thank you
AC
Thank you very much for looking this over

Maria needs to make a poster that is 1.5m by 3m for the big game. The cost of this paper is $1.75. Later she needs a poster with dimens