The ratio 7

The ratio of the sides of two squares is 4:5 if the sum of their areas is 180 cm². Find the sides of the two squares.

Correct answer:

a =  8.3812 cm
b =  10.4765 cm

Step-by-step explanation:

a:b=4:5 S=180 cm2  S= a2 + b2 5a = 4b  S= a2 + (5/4 a)2 S= a2   (1 + (5/4)2)  a=1+1625S=1+1625180=8.3812 cm
b=45 a=45 8.381210.4765 cm   Verifying Solution:   S1=a2+b2=8.38122+10.47652=180 cm2 r=a/b=8.3812/10.4765=54=0.8

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