Solution: We are given that the population of Virginia is 8 million.
Let x be the population of Nevada.
We are given population of Virginia is 2.8 million less than 4 times the population of Nevada.
The first step is to on both sides.
add 2.8
The second step is to on both sides.
divide 4
The population of Nevada is million.
2.7
The ratio of the area of region R to the area of region S is:
The sides of R are in the ratio : 2:3
Let the length of R be: 2x
and the width of R be: 3x
i.e. The perimeter of R is given by:
( Since, the perimeter of a rectangle with length L and breadth or width B is given by:
)
Hence, we get:
i.e.
Also, let " s " denote the side of the square region.
We know that the perimeter of a square with side " s " is given by:
Now, it is given that:
The perimeters of square region S and rectangular region R are equal.
i.e.
Now, we know that the area of a square is given by:
and
Hence, we get:
and
i.e.
Hence,
Ratio of the area of region R to the area of region S is: