edd512
contestada

The area of the regular hexagon is 10.4 in.2.

What is the measure of the apothem, rounded to the nearest tenth of an inch?

A. 1.3 in.

B. 1.7 in.

C. 2.0 in.

D. 3.4 in

The area of the regular hexagon is 104 in2 What is the measure of the apothem rounded to the nearest tenth of an inch A 13 in B 17 in C 20 in D 34 in class=

Respuesta :

Homeworkslayer69
area of a regular polygon is 1/2 (apothem * perimeter )

10.4= 1/2 ( a * 12 ) would be the equation you use to find the answer.

answer is 1.73
MrRoyal

The measure of the apothem is 1.7 in

The given parameters are:

Area = 10.4 square inches

Length = 2 inches

Start by calculating the perimeter (p) of the regular hexagon

[tex]p =6 * length[/tex]

So, we have:

[tex]p =6 * 2[/tex]

[tex]p =12[/tex]

The area of the hexagon is then calculated as:

[tex]Area = 0.5 * a * p[/tex]

Where a represents the apothem.

So, we have:

[tex]10.4 = 0.5 * a * 12[/tex]

Evaluate the product

[tex]10.4 = 6 * a[/tex]

Divide both sides by 6

[tex]1.7 = a[/tex]

Rewrite as:

[tex]a =1.7[/tex]

Hence, the measure of the apothem is 1.7 in

Read more about regular hexagons at:

https://brainly.com/question/1601601

Otras preguntas