1 Answer

Mika Fischer · Answer 1 · 2023-06-14T12:35:36+0000

Given,

The base is

$B\text{ = 10 in.}$

The height is

$H=8.7\text{ in.}$

To find: Area of each triangle and the area of the table surface.

Solution:

Draw a line from each vertex to the vertex on the opposite side of the hexagon, you will form 6 triangles.

The area of each triangle is calculated by the formula.

$Area\text{ of each triangle = }(1)/(2)* B* H$

Put the given values in the formula.

$\begin{gathered} Area\text{ of each triangle = }(1)/(2)*10\text{ in. }*8.7\text{ in.} \\ Area\text{ of each triangle = 43.5 in.}^2 \end{gathered}$

Thus, the area of each triangle is 43.5 in.^2

Now, the area of the table surface is

$43.5*6=261\text{ in.}^2$

Thus, the area of the table surface is 261 in.^2.

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