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Question


The area of a rectangle is 96 cm2 and its length is 12 cm. The perimeter of the rectangle is same as the perimeter of a triangle. Find the semi perimeter of the triangle.


Options:
A .   10 cm
B .   40 cm
C .   20 cm
D .   80 cm
Answer: Option C
:
C

Area of a rectangle = length × breadth
96 = 12 × breadth


Breadth = 8 cm


Perimeter of the rectangle = 2(length + breadth) = 2(12+8) cm = 40 cm


Perimeter of the rectangle = Perimeter of the triangle


Therefore, semi perimeter of the triangle =402=20 cm



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