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Answer:
4 cm
Step-by-step explanation:
If x is the length of the side of the square (in cm), then the area of the base is ...
1344 = (40 -2x)(50 -2x)
336 = (20 -x)(25 -x) . . . . . divide by 4
336 = x^2 -45x +500
Subtracting 336 gives ...
x^2 -45x +164 = 0
(x -41)(x -4) = 0 . . . . . . . factor
x = 4 . . . . . . . . the dimension must be less than 20
The length of the sides of the squares is 4 cm.
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A graphing calculator makes short work of it.
