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
rosijanka [135]
3 years ago
6

A.Find the total and area of the compound figures

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
8 0

Answer:

(a) The total area of compound figure is 284.52ft^2.

(b) The total perimeter of compound figure is 68.84 ft.

Step-by-step explanation:

Perimeter: The total distance covered by the figure.

Area: It is defined as the space occupied by the figure.

Given:

Length of rectangular figure = 19 ft

Breadth of rectangular figure = 12 ft

Radius of circle, r = \frac{12ft}{2} = 6 ft

Part (a):

Now calculating the total area of the compound figure.

\text{Total area}=\text{Area of rectangular figure}+\frac{1}{2}\times \text{Area of circle}\\\\\text{Total area}=\text{Length}\times \text{Breadth}+\frac{1}{2}\times \pi r^2

Now putting all the given values in this formula, we get:

\text{Total area}=(19ft\times 12ft)+\frac{1}{2}\times 3.14\times (6ft)^2\\\\\text{Total area}=284.52ft^2

Part (b):

Now calculating the total perimeter of the compound figure.

\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times \text{Circumference})\\\\\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)

Now putting all the given values in this formula, we get:

\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)\\\\\text{Total perimeter}=2\times 19ft+12ft+(\frac{1}{2}\times 2\times 3.14 \times 6ft)\\\\\text{Total perimeter}=68.84ft

You might be interested in
7(8x+5x+8)−7x<br> please help meh
guapka [62]

Answer:

simplified 84x+56

Step-by-step explanation:

sorry if I didn't answer this correctly

7 0
2 years ago
Read 2 more answers
A number increased by the quotient of 24 and the number
ValentinkaMS [17]

Answer:

n + 24/n

Step-by-step explanation:

n = number

24/n = quotient

Expression: n + 24/n

8 0
3 years ago
Please explain this I need help
Ira Lisetskai [31]
Do you need help dividing??
5 0
2 years ago
The sum of pi and 3/4 is a (n)_________ number
Andrew [12]
The answer is a.rational
6 0
3 years ago
How do I find the area of a circle?
pogonyaev
How to find the area of a circle:

The area of a circle can be found by multiplying pi ( π = 3.14) by the square of the radius
If a circle has a radius of 4, its area is 3.14*4*4=50.24
If you know the diameter, the radius is 1/2 as large.
8 0
2 years ago
Other questions:
  • Mark simplified three over five ÷ five over eight; his work is shown below. Identify where he made his error. (5 points)
    14·1 answer
  • The cost of two mopeds is the same as the cost of seven bicycles. The cost of one bicycle is $152. Therefore, the cost of one mo
    5·1 answer
  • A factory worker conducted test on a random sample of 150 products. Of the products tested, 2 were found to have defects. Based
    8·1 answer
  • Find the value of x.
    15·1 answer
  • What is a squared 9 in algebraic form?
    6·1 answer
  • Solve for the variable 8x+7=-9
    8·2 answers
  • A rectangular piece of paper measuring 25cm by 21cm is
    6·2 answers
  • A supplier of digital memory cards claims that less than 1% of the cards are defective. In a random sample of600 memory cards, i
    5·1 answer
  • Factorise 8m square - 2m - 15 can someone do it quickly pls​
    12·1 answer
  • 1.7x0.825<br> 0.24x3.3<br><br> Pls help thx
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!