Roo has a square plot of 16 square miles of land.
She will build 12 houses
along the north edge,
which needs a road. How
long will the road be?

The length of the road road servicing the north edge is 4 miles

Step-by-step explanation:

The given information are;

The shape of the land Roo has = Square, with all sides equal

The size of the land Roo has = 16 miles²

The number of houses Roo is building along the north edge = 12 houses

The number of roads servicing the north edge = 1 road

Therefore, the length of the road road servicing the north edge = The length of the north edge

The length of the north edge = The length of the side of the square

The length of a side of a square = √(Area of the square)

The length of a side of the square plot of land = √(Area of the square plot of land)

∴ The length of a side of the square plot of land = √(16 miles²) = 4 miles

The length of the north edge = The length of the side of the square plot of land = The length of the north edge = the length of the road road servicing the north edge = 4 miles

The length of the road road servicing the north edge = 4 miles.