Answer:
The larger square is 6 cm on a side
Step-by-step explanation:
Let x = the side of square 1
Let y = side of square 2
A= s^2
Area of square 1 = x^2
Area of square 2 = y^2
The total area of both squares = x^2 +y^2 = 45
We know that y = 2x
Substituting in
x^2 + (2x)^2 = 45
x^2 +4x^2 = 45
5x^2 = 45
Divide each side by 5
5x^2/5 = 45/5
x^2 = 9
Take the square root of each side
sqrt(x^2) = sqrt(9)
x = 3
y = 2x = 2(3) = 6
The larger square is 6 cm on a side
