1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
earnstyle [38]
3 years ago
8

What are the measurements of the sides of a pentagon that has the area of 32?

Mathematics
1 answer:
LenaWriter [7]3 years ago
3 0

Answer:

4.31 units

Step-by-step explanation:

A pentagon is a polygon with five straight sides.

The formula to apply here will be finding area from side length, assuming that this is  a regular pentagon with five sides of equal length.

Lets take each side length to be x units

Divide the pentagon into five triangles by joining a line from the center to any vertex of the pentagon.

Now you have five equal triangle.Take the base triangle and divide it into two(take a line from center of pentagon to hit the base at 90°)

This will divide the base triangle of length x unit into two equal triangles with base length x/2 units.

The angle at the pentagon center for the small formed triangle will be 36°. Here you have a triangle with base x/2 units and angle 36° at top center.

To get the height of the triangle you apply formula for tangent of an angle;

height, h=0.5x /tan 36°

Find area of the small triangle;

Area=1/2 *b*h

where b is base length=0.5x and h is height = 0.5x/tan 36°

Area=1/2*0.5x * (0.5x /tan 36°) Area for one small triangle.

However, you notice that you will have 10 small triangles for the whole pentagon, hence multiply this area by 10 which should be equal to the area of the pentagon given 32.

32=1/2 * 0.5x *(0.5x /tan 36°) *10

32=1.25x² /tan 36°

32*0.7265=1.25x²

18.60=x²

√18.60=x

4.31=x

Measurement of one side is 4.31 units

You might be interested in
1 2/3. 7/8 someone help me please
Ksivusya [100]
1 2/3 * 7/8...turn the mixed number to an improper fraction
5/3 * 7/8 = 35/24 = 1 11/24
3 0
3 years ago
Read 2 more answers
There are 25 towns in a certain country, and every pair of them is connected by a train route. How many train routes are there?
FinnZ [79.3K]
If there are no options to choose from I’d say 25 but if there are options please post them
7 0
3 years ago
Read 2 more answers
What is the seven in 1.762
evablogger [386]

Answer: thousand place

Step-by-step explanation:

hope this helps

3 0
1 year ago
Read 2 more answers
Round the number 817.0863 to the nearest:
butalik [34]

Answer:

(a) hundreds = 817

(b) hundredths = 817.09

(c) 3 d.p = 817.086

(d) 4 s.f. = 817.1

(e) whole number = 817

5 0
3 years ago
PLEASE HELP ME BRANNIEST
Nastasia [14]

The solution is the x intercept

In this case the x- intercept is

(3,-2) or B


8 0
2 years ago
Read 2 more answers
Other questions:
  • Which statement is true? A. A biconditional is only true if both statements are true. B. A biconditional is only true if both st
    12·2 answers
  • Just number 2 please i’ve tried many times... i need an equation and the answer :)
    5·1 answer
  • How do I work this problem out using the equation A=Pe^rt
    13·1 answer
  • Write a quadratic function in standard form with a leading coefficient of 1 for the given set of zeros. 7 and 4
    14·1 answer
  • It solves the systems of equations.
    12·1 answer
  • Rewrite the function by completing the square f(x)=x ^2 +4x−60
    9·1 answer
  • The domain of the quadratic equation y=-(x+3)squared+4
    12·2 answers
  • Choose the correct statement!
    14·2 answers
  • Please help me no links or other things just the answerrrrrr
    9·1 answer
  • For a project in her Geometry class, Chee uses a mirror on the ground to measure the
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!