Question

the combined area of two squares is 45 square cm. Each side of one square is twice as long as the side of the other Square. What is the length of each side of the larger Square?

Answer 1

L=6 cm l=3

Explanation:

x+y=45

L=2l

Big Square Area

L*L=x

Little Square

l*l=y

Substituting

(L*L)+(l*l)=45

(2l*2l)+(l*l)=45

(4l^2)+(l^2)=45

5l^2=45

l^2=45/5

l^2=9

l=sqrt(9)

l=3

L=2(3)

L=6