The length and breadth of a rectangle are (2x + 3)cm and (x + 4) cm respectively. If the area of the rectangle is 88 cm 2, find the perimeter of the rectangle
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suyashhhhh69:
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Step-by-step explanation:
area of rectangle = length × breadth
(2x+3)(x+4) = 88
2x²+8x +3x +12 =88
2x²+11x+12=88
2x²+11x - 76 =0
(2x+19)(x−4)=0
clearly x=4 because sides cant be negative
now length = 2(4)+3=11 cm
and breadth = 8 cm
perimeter = 2(11+8)
perimeter of rectangle = 38 cm
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