How do you add two possibility frontiers (from different regions) together to find the total frontier for the whole country?

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How do you add two possibility frontiers (from different regions) together to find the total frontier for the whole country?

Information is as follows:

Xa = Lx^(1/2)

Ya = Ly^(1/2)

Xb = 1/2Lx^(1/2)

Yb = 1/2Ly^(1/2)

Frontiers are:

Xa^2 + Ya^2 = 100

Xb^2 + Yb^2 = 25

Thank you!

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