Q7.
The perimeter of a rectangle is 18 x + 14 x - 18 metres. If one of its side is - 10 x2 + 4x - 5 metres.
then find the other side?
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Given info : The perimeter of a rectangle is 18x² + 14 x - 18 metres. one of its side is - 10x² + 4x - 5 metres.
To find : the other side of the rectangle.
Solution : we know, perimeter of a rectangle is given by, P = 2(l + b)
where l is length and b is width of rectangle.
Here, P = 18x² + 14x - 18 , l = -10x² + 4x - 5
so, 18x² + 14x - 18 = 2(-10x² + 4x - 5 + b)
⇒(18x² + 14x - 18)/2 = -10x² + 4x - 5 + b
⇒9x² + 7x - 9 = -10x² + 4x - 5 + b
⇒19x² - 3x - 4 = b
Therefore the other side of the rectangle is 19x² - 3x - 4
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