SOLUTION: 6.8 #5 Can someone please help me with this problem? Suppose you are an elementary school teacher. You want to order a rectangular bulletin board to mount on a classroom wall

Question 231483: 6.8 #5
Can someone please help me with this problem?
Suppose you are an elementary school teacher. You want to order a rectangular bulletin board to mount on a classroom wall that has an area of 40 square feet. Fire code requirements allow for no more than 30% of a classroom wall to be covered by a bulletin board. If the length of the board to be three times as long as the width, what are the dimensions of the largest bulletin board that meets fire code?
width =
length =
Thank you,
Alan
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

30% of 40 square feet is .3 X 40 = 12 square feet. Let

represent the width of the bulletin board. Then the length of the bulletin board must be

. The area of a

rectangle is given by

. But we know the desired area to be 12 square feet, so:

Just solve for

and exclude the negative root (since you are looking for a positive measure of length)

John

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