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Jaanki:
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Hey Mate ! Hope This Helps !!
Step-by-step explanation:
Let the breadth of the rectangle be x.
In 1st case,
Length = Width + 6 cm
⇒ Length = x +6
Area of first rectangle = x(x+6)
= x² + 6x
In second case,
Length = (x + 6) - 3 = x + 3
Width = x - 3
Area of rectangle = Length x width
= (x + 3)(x-3)
= x² - (3)²
= x² - 9
Subtracting the area by 36 cm²,
x²-9 = x² + 6x - 36
⇒ 6x = 36 - 9
⇒ x = 27/6
⇒ x = 4.5 cm
Now, Length = x + 6 = 4.5 + 6 = 10.5
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