The combined land area of the countries A and B is 159159,973 square kilometers. Country A is larger by 473473 square kilometers. Determine the land area of each country.

The land area of country A and country B are 80223 sq.km. and 79750 sq.km. respectively

Step-by-step explanation:

Let the area of Country B be x

We are given that Country A is larger by 473 square kilometers.

Area of Country A = x+473

Total area of both countries = x+x+473

Total area of both countries = 2x+473

We are given that The combined land area of the countries A and B is 159,973 square kilometers.

So,

x=79750

Area of Country A = x+473=79750+473=80223 sq.km.

Hence the land area of country A and country B are 80223 sq.km. and 79750 sq.km. respectively

true

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4