solving problems involving relationship among unknown quantities

Question

the sum of their areas is

1,200,000

square​ miles, find the area of each desert.

Answer 1

x^2 + y^2 = 1.2 million mi.^2 = 2,000sqr3

if both squares have the same area then

2x^2 = 1.2m

x^2 = .6 million square miles

if x^2 = 1.2 x 10^6 - y^2 with y^2 = .8 x 10^6 then

x^2 = .4 x 10^6 square miles

Answer 2

x^2 + y^2 = 1.2 million mi.^2 = 2,000sqr3

if both squares have the same area then

2x^2 = 1.2m

x^2 = .6 million square miles

if x^2 = 1.2 x 10^6 - y^2 with y^2 = .8 x 10^6 then

x^2 = .4 x 10^6 square miles