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LET THE LENGTH BE x + 9 CM.
LET THE BREADTH BE x CM.
THIS IS THE ORIGINAL RECTANGLE WHICH INFORMATION IS ABOVE.
LET THE LENGTH BE x + 9 + 3 CM.
LET THE BREADTH BE x + 3 CM.
LENGTH = x + 12 CM
BREADTH = x + 3 CM
THIS IS THE NEW RECTANGLE WHICH INFORMATION IS ABOVE.
AREA OF ORIGINAL RECTANGLE + 84 = AREA OF NEW RECTANGLE
AREA OF RECTANGLE = LENGTH × BREADTH
(x + 9)(x) + 84 = (x + 12)(x + 3)
AREA OF ORIGINAL RECTANGLE + 84 =
=
AREA OF NEW RECTANGLE
x ^ 2 - x ^ 2 + 84 - 36 = 15x - 9x
0 + 48 = 6x
48 = 6x
x = 48 / 6
x = 8 cm
THE LENGTH OF THE ORIGINAL RECTANGLE BE 8 + 9 = 17 CM.
THE BREADTH OF THE ORIGINAL RECTANGLE BE 8 CM.
THE LENGTH OF NEW RECTANGLE BE
8 + 12 = 20 CM
THE BREADTH OF NEW RECTANGLE BE
8 + 3 = 11 CM.
ANS : - THE LENGTH AND BREADTH OF THE GIVEN RECTANGLE IS 17 CM AND 8 CM RESPECTIVELY.
HOPE IT HELPS YOU!!!!
LET THE BREADTH BE x CM.
THIS IS THE ORIGINAL RECTANGLE WHICH INFORMATION IS ABOVE.
LET THE LENGTH BE x + 9 + 3 CM.
LET THE BREADTH BE x + 3 CM.
LENGTH = x + 12 CM
BREADTH = x + 3 CM
THIS IS THE NEW RECTANGLE WHICH INFORMATION IS ABOVE.
AREA OF ORIGINAL RECTANGLE + 84 = AREA OF NEW RECTANGLE
AREA OF RECTANGLE = LENGTH × BREADTH
(x + 9)(x) + 84 = (x + 12)(x + 3)
AREA OF ORIGINAL RECTANGLE + 84 =
=
AREA OF NEW RECTANGLE
x ^ 2 - x ^ 2 + 84 - 36 = 15x - 9x
0 + 48 = 6x
48 = 6x
x = 48 / 6
x = 8 cm
THE LENGTH OF THE ORIGINAL RECTANGLE BE 8 + 9 = 17 CM.
THE BREADTH OF THE ORIGINAL RECTANGLE BE 8 CM.
THE LENGTH OF NEW RECTANGLE BE
8 + 12 = 20 CM
THE BREADTH OF NEW RECTANGLE BE
8 + 3 = 11 CM.
ANS : - THE LENGTH AND BREADTH OF THE GIVEN RECTANGLE IS 17 CM AND 8 CM RESPECTIVELY.
HOPE IT HELPS YOU!!!!
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