Question:
if one side of the square is decresed by2 m and other side is incresed by 1m. area rectangle will be formed whose area 9sq m less than the area of the square. find the side of the square
Answer:
Let the side of a square is a
Area of the square = a2
Now length of the rectangle = a + 1
breadth of the rectangle = a - 2
Are of the rectangle = (a + 1)*(a - 2)
Again given,
Area of the rectangle is 9 less than the area of the square
=> (a + 1)*(a - 2) = a2 - 9
=> a2 - 2a + a - 2 = a2 - 9
=> - 2a + a - 2 = - 9
=> -a - 2 = -9
=> -a = -9 + 2
=> -a = -7
=> a = 7
So, the length of the side of the square a = 7 m
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