Answer:
126 in.^2
Explanation:
The hexagon is divided into 6 congruent triangles. The area of the hexagon is 6 times the area of one of the triangles.
Now think of each triangle.
The side of the hexagon is the base of the triangle. The side of the hexagon has length 7 inches, so the base of the triangle has length 7 inches.
The height of the triangle is approximately 6 inches.
area of triangle = base * height/2
area of hexagon = 6 * area of triangle
area of hexagon = 6 * base * height/2
area of hexagon = 3 * base * height
area of hexagon = 3 * 7 in. * 6 in.
area of hexagon = 126 in.^2