Q. 16

The perimeter of A. 120 cm

B. 122 cm

C. 71 cm

D. 142 cm

Answer :

Given: Length of rectangle 60cm


Diagonal of rectangle 61cm


Formula Used/Theory:-


Pythagoras theorem:-


Base2 + Height2 = Hypotenuse2


In rectangle every angle is 90°


Length, Breadth, Diagonal forms a right angled triangle


With diagonal as hypotenuse


Base2 + Height2 = Hypotenuse2


Breadth2 + Length2 = Hypotenuse2


Breadth2 + 602 = 612


Breadth2 = 612 – 602


Breadth2 = 3721 – 3600


Breadth2 = 121


Breadth = √121 = 11cm


Perimeter = 2(length + breadth)


= 2(60 + 11)


= 142cm

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