SOLUTION: A playground, a 48 m square, is going to lose part of one corner (15m x 15m triangle) due to construction. They will take the triangluar section and add it to the two perpendicula

Question 33350: A playground, a 48 m square, is going to lose part of one corner (15m x 15m triangle) due to construction. They will take the triangluar section and add it to the two perpendicular square sides. Find the approximate width of the strip that will be added to each of the two sides.
We think it is the area of the triangle (1/2bh) 15 x 15 divided by 2 = 112.5 and add this to the area of the square (48 x 48 = 2304. These two added 112.5 and 2304 = 2415.5....we were told to then find the square root of this # 2415.5...but this just doesn't sound right to us. HELP! We tried other ways and were told it is wrong.
Answer by Fermat(136) (Show Source): You can put this solution on YOUR website!
If I've got this correctly, then you have a triangular corner removed from a square area, This area that is removed is then transformed into two equal-sized strips that are attached to the two 48m-long sides of the square.
If that is so then, the area of each strip is 112.5/2 = 56.25 m�.
Since the length of a strip is 48 m then the width is 56.25/40 = 1.40625 m.
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