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
krek1111 [17]
3 years ago
11

What is the area of the polygon?

Mathematics
2 answers:
Andrew [12]3 years ago
7 0
Hey there!

Let's split this up into four parts as shown by the image here.

Focus on the section to the far left. It is 2 units wide and 5 units long. 
The formula for the area of a triangle is A = 1/2 x l x w.
A = 1/2 x 5 x 2 = 2.5 x 2 = 5 square units is the area of this section.

The second section, the rectangular one, has the dimensions 3 x 5.
The area of this section is 15 square units.

The third section is the one at the top left. It is 4 units wide and 2 units long.
A = 1/2 x 2 x 4 = 1 x 4 = 4 square units is the area of this section.

The last section is the one at the bottom right. It is 4 units wide and 3 units long.
A = 1/2 x 3 x 4 = 1.5 x 4 = 6 square units is the area of this section. 

Now to find the total area of the polygon, which happens to be an irregular pentagon, add up the areas of the sections we divided earlier. 

5 + 15 + 4 + 6 = 30 

The area of this polygon is 30 square units, or 30 u².

Hope this helps!

tino4ka555 [31]3 years ago
5 0
Look at the picture.
The area of the trapezoid:
A_1=\dfrac{9+7}{2}\cdot5=\dfrac{16}{2}\cdot5=8\cdot5=40\ \text{units}^2


The area of the triangle:
A_2=\dfrac{1}{2}\cdot5\cdot4=\dfrac{1}{2}\cdot20=10\ \text{units}^2

The area of the polygon:
A=A_1-A_2\\\\A=40-10=30\ \text{units}^2

You might be interested in
An item costs $300 before tax, and the sales tax is $9.90 . Find the sales tax rate. Write your answer as a percentage.
Step2247 [10]

Answer:

3.33%

Step-by-step explanation:

9.90/300=0.033

8 0
2 years ago
A blueprint for a house shows the height of the house to be 3 3/8 inches. The actual house is 21 1/3 feet tall. What is the unit
Amanda [17]
6.32ft per inch (rounded to the hundredth place).

You can get this number by dividing the total number of feet by the total number of inches 
6 0
3 years ago
Help meeeeeeeeeeeeeeeeeee
Llana [10]
Subract the entrance cost from $35 and then divide what’s left to see how many games he must play
5 0
3 years ago
Read 2 more answers
Please solve with explanation (high points)
Hunter-Best [27]

Step-by-step explanation:

so, we have a large triangle made of the 2 cables as legs and the ground distance AB as baseline.

the tower is the height to the baseline of that large triangle.

let's call the top of the tower T.

and remember, the sum of all angles in a triangle is always 180°.

we know the angle A = 62°, and angle B = 72°.

assuming that AB is a truly horizontal line that means that the 2 legs (cables) have different lengths, the triangle is not isoceles, and the tower is not in the middle of the baseline.

so, the height (tower) splits the baseline into 2 parts. let's call them p and q.

p + q = 12 m

p = 12 - q

let's simply define that p is the part of the baseline on the A side, and q is the part of the baseline on the B side.

we have now 2 small right-angled triangles the large height (tower) splits the large triangle into.

one has the sides

AT, height (tower), p

angle A = 62°

angle T = 180 - 90 - 62 = 28°

the other has the sides

BT, height (tower), q

angle B = 72°

angle T = 180 - 90 - 72 = 18°

now remember the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

with the sides and the associated angles being opposite.

p/sin(28) = height/sin(62)

q/sin(18) = height/sin(72)

we know from above that

p = 12 - q

so,

(12 - q)/sin(28) = height/sin(62)

height = (12 - q)×sin(62)/sin(28)

q/sin(18) = height/sin(72)

height = q×sin(72)/sin(18)

and therefore, as height = height we get

(12 - q)×sin(62)/sin(28) = q×sin(72)/sin(18)

(12 - q)×sin(62)×sin(18) = q×sin(72)×sin(28)

12×sin(62)×sin(18) - q×sin(62)×sin(18) =

= q×sin(72)×sin(28)

12×sin(62)×sin(18) = q×sin(72)×sin(28) + q×sin(62)×sin(18) =

= q×(sin(72)×sin(28) + sin(62)×sin(18))

q = 12×sin(62)×sin(18) / (sin(72)×sin(28) + sin(62)×sin(18))

q = 4.551603755... m

p = 12 - q = 7.448396245... m

height = q×sin(72)/sin(18) = 14.00839594... m ≈ 14 m

the cell tower is about 14 m tall.

7 0
1 year ago
Find the area of the figure.
lys-0071 [83]

Answer: 13300

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Math 7. Grade 7
    5·2 answers
  • Find the length of side x in simplest radical form with a rational denominator.
    7·1 answer
  • How do you verify factoring is correct?
    6·1 answer
  • On a line y=3x, when x=2, what does Y equal​
    9·2 answers
  • Which is more, 1 ton or 388 pounds?
    14·2 answers
  • How many 0.2 liters glasses of water are contained in a 3.6 liter pitcher
    7·1 answer
  • Please help me, due soon ​
    8·2 answers
  • 1<br> What is the volume of a cube of side 1000 mm?
    5·1 answer
  • Complete the process of solving the equation.
    8·1 answer
  • The Space Shuttle travels in orbit at 31,000 km/h. How far will it travel after 6.0<br> hours? *
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!