Find the area of a regular hexagon with an apothem 10.4 yards long and side 12 yards long. round your answer to the nearest tenth

The area of  a regular hexagon with an apothem 10.4 yards long and side 12 yards long is 124.80 yards²

Step-by-step explanation:

Given : A regular hexagon with an apothem 10.4 yards long and side 12 yards long.

We have to find the area of a regular hexagon with an apothem 10.4 yards long and side 12 yards long.  

Since, the Given hexagon is a regular hexagon.

So, each side make equal angle with mid point.

Thus, Area of each triangle =

base = 12 yards

height = 10.4 yards.

Thus, Area of each triangle =

Since, there are 6 triangles.

so area of hexagon = 6 × Area of triangle

area of hexagon = 6 × 62.4 = 124.8 yards²

Thus, The area of  a regular hexagon with an apothem 10.4 yards long and side 12 yards long is 124.80 yards²

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4