SOLUTION: Currently, you have a sandbox with a length of 2 yards and a width of 3 yards. You would like to increase the area of the sandbox 11 times its current area by adding to the width

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Question 991246: Currently, you have a sandbox with a length of 2 yards and a width of 3 yards. You would like to increase the area of the sandbox 11 times its current area by adding to the width twice the distance you will add to the length. What will the new dimensions of the sandbox be?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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x=amount to add to length
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%282yds%2Bx%29%283yds%2B2x%29=11%282yds%29%283yds%29
2x%5E2%2B7x%2B6=66
2x%5E2%2B7x-60=0
%28x-4%29%282x%2B15%29=0
x-4=0 OR 2x%2B15=0
x=4 OR 2x=-15
+x=4 OR x=-7%2F2
Since we are looking for a length, the second answer won't work.
You should add 4 yards to the length.
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New Length= Old Length + x=2yds+4yds=6yds
ANSWER 1: The new length will be 6 yards.
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New Width= Old Width+2x=3yds+8yds=11yds
ANSWER 2: The new width is 11 yards.
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CHECK:
New Area = 11 x Old Area
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(6yds)(11yds)=11(2yds)(3yds)
66yd^2=11(6yds)
66yd^2=66yd^2