If one side of a square is represented by $18 x - 20$ and the adjacent sides is represented by $42 - 13 x$ , find the area of the square.

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Solution

One side of square = 18x-20
adjacent side = 42-13x
18x-20=42-13x
18x+13x=42+20
31x=62
[x=2] area of square = $(18 \times 2 - 20)^{2} = (16)^{2} = 256$ sq unit

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