Question

The bases are regular hexagons. The area of each is about 416 om. Find the sum of their areas (SHOW ALL WORK)

Answer 1

The image has two(2) hexagons as the top and base of the figure, and six(6) rectangular blocks by the sides.

`\begin{gathered} \text{The area of the base is 41.6 cm}^2 \\ \text{Thus, the area of the 2 hexagons at the top and the base is 2}*41.6=83.2cm^2 \end{gathered}`
`\begin{gathered} \text{The dimension of one of the rectangular blocks 4cm by 9cm.} \\ \text{Thus, the area of the rectangular block is 4}*9=36cm^2 \end{gathered}`

For six(6) rectangular blocks, the area becomes:

`\begin{gathered} A=6*36 \\ A=216cm^2 \end{gathered}`

Hence, sum of their areas is 83.2 + 216 = 299.2 square centimeter.