A square

A square with a length of diagonals 12cm gives:
a) Calculate the area of a square
b) rhombus with the same area as the square, has one diagonal with a length of 16 cm. Calculate the length of the other diagonal.

Correct answer:

S =  72 cm2
u3 =  9 cm

Step-by-step explanation:

u1=12 cm  S = a2 u1 = 2a  S=2u12=2122=72 cm2
u2=16 cm  S =  2u2 u3  u3=2 S/u2=2 72/16=9 cm

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