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3 years ago

What is the area of the polygon given below

Mathematics

2 answers:

Ivan3 years ago

8 0

The area of the polygon is:

A = 2 × 12 + 14(12+2) + 3(12 + 2 + 3)

A = 2 × 12 + 14 × 14 + 3 × 17

A = 24 + 196 + 51

A = 220 + 51

A = 271 cm²

NARA [144]3 years ago

6 0

Answer:

B. 271 square units

Step-by-step explanation:

The area is the sum of 3 rectangles areas

step 1 12 * 19 = 228

step 2 3 * 3 = 9

step 3 2 * 17 = 34

Now, we add all the answers we got to get the area.

= 228 + 34 + 9 = 271 square units

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The figure shows the layout of a symmetrical pool in a water park. What is the area of this pool rounded to the tens place? Use

k0ka [10]

Answer:

$2489ft^{2}$

Step-by-step explanation:

The pool are is divided into 4 separated shapes: 2 circular sections and 2 isosceles triangles. Basically, to calculate the whole area, we need to find the area of each section. Due to its symmetry, both triangles are equal, and both circular sections are also the same, so it would be enough to calculate 1 circular section and 1 triangle, then multiply it by 2.

<h3>Area of each triangle:</h3>

From the figure, we know that <em>b = 20ft </em>and <em>h = 25ft. </em>So, the area would be:

$A_{t}=\frac{b.h}{2}=\frac{(20ft)(25ft)}{2}=250ft^{2}$

<h3>Area of each circular section:</h3>

From the figure, we know that $\alpha =2.21 radians$ and the radius is $R=30ft$ . So, the are would be calculated with this formula:

$A_{cs}=\frac{\pi R^{2}\alpha}{360\°}$

Replacing all values:

$A_{cs}=\frac{(3.14)(30ft)^{2}(2.21radians)}{6.28radians}$

Remember that $360\°=6.28radians$

Therefore, $A_{cs}=994.5ft^{2}$

Now, the total are of the figure is:

$A_{total}=2A_{t}+2A{cs}=2(250ft^{2} )+2(994.5ft^{2})\\A_{total}=500ft^{2} + 1989ft^{2}=2489ft^{2}$

Therefore the area of the symmetrical pool is $2489ft^{2}$

3 0

3 years ago

Solve these problems not give tips solve

Norma-Jean [14]

The correct answer is "please"

5 0

3 years ago

Read 2 more answers

14.1-191<br> Is this the answer?

enyata [817]

I don’t know if this is what you’re asking but 14.1-191 = -176.9

4 0

3 years ago

Read 2 more answers

Bobby will buy coffe and hot chocolate for his co-workers each cup of coffe costs $2.25 and each cup of hot chocolate costs $1.5

snow_lady [41]

He buys three cups of hot choclate cause 1.50*3= 4.50
and he buys 5 cups of coffe cause 2.25*5=11.25
and 11.25 + 4.50=15.75

3 0

3 years ago

Para decorar una pared se disponen de tiras de papel azules de 15 cm, verdes de 20 cm, y rojas de 25 cm. En la pared se quiere a

den301095 [7]

Answer:

a) Smallest line that can be made with each color = 300 cm

b) Total strips should be used = 47 strips

c) Total strips used of blue color = 20

Total strips used of green color = 15

Total strips used of red color = 12

Step-by-step explanation:

Given - To decorate a wall, there are 15 cm blue, 20 cm green, and 25 cm red strips of paper. On the wall you want to build three lines of the same size, one of each color and without cutting any strip.

To find - a) How long is the smallest line that can be made with each color?

b) How many strips should be used?

c) How many of each color?

Proof -

For the smallest line that can be made with each color, we just have to find the lcm (least common multiple) of the 3 srtips.

Firstly,

Decompose the 3 strips to its prime factors , we get

15 = 3×5

20 = 2²×5

25 = 5²

So,

The Lcm(15, 20, 25) = 3×2²×5² = 3×4×25 = 300

∴ we get

Smallest line that can be made with each color = 300 cm

Now,

Total strips used = 300 cm

Strips used by 15 cm blue = $\frac{300}{15}$ = 20 strips

Strips used by 20 cm green = $\frac{300}{20}$ = 15 strips

Strips used by 25 cm red = $\frac{300}{25}$ = 12 strips

So,

Total strips should be used = 20 + 15 + 12 = 47 strips

Total strips used of blue color = 20

Total strips used of green color = 15

Total strips used of red color = 12

6 0

3 years ago