<PRE><B>Question 945290</B>
X is length of side of smaller square
{{{x^2+(2x)^2=45 cm^2}}}
{{{x^2+4x^2=45cm^2}}} 
{{{5x^2=45cm^2}}} Divide each side by 5
{{{x^2=9cm^2}}}
x= 3cm
The sides of the smaller square are 3 cm
Side of larger=2 times side of smaller=6 cm
ANSWER The sides of the larger square are 6 cm.
CHECK
Sum of area=45 sq cm
{{{3^2+6^2=45 cm^2}}}
{{{9+36=45 cm^2}}}
45 sq cm=45 sq cm
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