Calculate 70814

The length of the sides AB and AD of the rectangle ABCD are in the ratio 3:4. A circle k with a diameter of 10 cm describes a rectangle. Calculate the side lengths of a given rectangle.

Correct answer:

a =  12 cm
b =  16 cm

Step-by-step explanation:

a:b = 3:4 r=10 cm  r = u/2 = a2+b2/2  4r2 = a2+b2 4r2 = (3/4 b)2+b2 4r2 = (9/16 + 1 )   b2  b=4 r2/(9/16+1)=4 102/(9/16+1)=16 m a=3/4 b=3/4 16=12 cm
b=16=16 cm   Verifying Solution:  r2=a2+b2/2=122+162/2=10 cm

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