Question 959373
x=side of smaller square; 2x=side of larger square
{{{x^2+(2x)^2=45cm^2}}}
{{{x^2+4x^2=45cm^2}}}
{{{5x^2=45cm^2}}} Divide each side by 5.
{{{x^2=9cm^2}}} Find the square root of each side.
{{{x=3cm}}} The side of the smaller square is 3 cm.
{{{2x=2(3cm)=6cm}}} ANSWER: The sides of the larger square are 6 cm.
CHECK:
{{{(3cm)^2+(6cm)^2=45cm^2}}}
{{{9cm^2+36cm^2=45cm^2}}}
{{{45cm^2=45cm^2}}}