Question

What is the area of a hexagon with a side length of 10? it also has a rectangle in it with other measurements but the question is asking for the area of the hectagon.

Answer 1

there is a formula for a hexagon .. it's

Area = 3
`√(3\\)`/2 *
`length^(2)`

where length is the length of one side, assuming all sides are equal

Explanation:

3*
`√(3)`/2= 7.348469228.........

since the length is 10... the length squared is 100

then the total area of the hexagon is 734.8469228......
`units^(2)`.. what ever they are

if you want to work with some concepts.. you could also say that a hexagon is just a box with the corners cut off and the triangles that are missing are the equilateral right triangles with a hypotenuse of 10 . and since 2 pieces of those triangles make a square.. you can subtract two squares of that size from the bigger box that the hexagon fits into. this is a long way to figure this out but might be good for trigonometry practice :)

it will also be 734.8463288..... see if you can work that out :)