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Question

The area of a square and a rectangle are equal. The side of square is 12cm and the length of rectangle is 16cm. The perimeter of the rectangle is __________.

A
25cm
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B
50cm
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C
75cm
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D
144cm
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Solution

The correct option is A 50cm
Given:
Side of Square =12 cm
Area of square =12×12
=144 cm2

Now,
let the breadth of rectangle be x
Area of rectangle =Length×breadth
=16×x

According to question,
Both the areas are equal. So,
16x=144
x=14416=9cm

breadth(x)=9 cm

Now ,
Perimeter of rectangle =2(Length+breadth)
=2(16+9)
=50cm

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