The diagram shows a hexagon-shaped tile used for flooring. Each hexagon tile has an area of 18/3 in 2 Find x.

The area of the hexagon-shaped tile is the amount of space it occupies

The value of x is 2

The given parameters are:

The shape is a regular hexagon (i.e. it has 6 equal sides).

So, the area of one of the segments is the total area divided by 6 and this is calculated as:

A segment of the hexagon is a triangle, and the area of a triangle is:

So, we have:

This gives

Apply law of indices

Add the exponents

Express the equations as a base of 3

Cancel out the base

Multiply through by 8

Rewrite as:

Hence, the value of x is 2

Read more about areas at:

link

x = 12

Step-by-step explanation:

The hexagonal tile given here is made up of 6 triangles with equal bases and heights.

So, area of hexagonal tile will be equal to 6 times the area of one triangle.

Therefore,

180-142=38 for the acute angle next to the entry

90+38=128

180-128=52

a=52

step-by-step explanation: