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
Irina-Kira [14]
3 years ago
11

What is the area of this figure?

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

Answer:

In the given composite figure:

Labelled the figure:

In a square ABCD figure:

Each side is of 18 m each

Area of a square is given by:

\text{Area of square} = (\text{Side})^2

Then;

\text{Area of square ABCD} = (18)^2 = 324 m^2

Now, In right angle triangle CEF:

Area of a right angle triangle is given by:

\text{Area of triangle} = \frac{1}{2}(\text{Base}) \cdot (\text{Height})

In a a triangle CEF:

Base = CE = 8 m and Height = CF = 16 m

then;

\text{Area of triangle CEF} = \frac{1}{2}(8) \cdot (16)=4 \cdot 16 = 64 m^2

Similarly in triangle DCF:-

Base = CD = 18 m

Height = CF = 16 m

then;

\text{Area of triangle DCF} = \frac{1}{2}(18) \cdot (16)=9 \cdot 16 = 144 m^2

Thus:

area of composite figure =Area of square ABCD + Area of triangle CEF + Area of triangle DCF

Area of this composite figure= 324 +64+144 = 532 square meter.

Therefore, area of this figure is 532 meter square.

You might be interested in
Which values satisfy the inequality? |x| < 3 Choose all answers that are correct. A. x = –6 B. x = –5 C. x = –1 D. x = 2
ahrayia [7]
Lets plug in the answer choices and see which one works

A. x = -6

| -6 | < 3
6 < 3

False, so A is not the answer

B. x = -5

| -5 | < 3
5 < 3

False, so B isn't the answer

C. x = -1

| -1 | < 3
1 < 3

True, so C is the answer.

But lets just check D to make sure C is the answer.

D. x = 2

| 2 | < 3
2 < 3

False, so D isn't the answer either.


C is your answer :)
4 0
3 years ago
Select the correct answer.
Elena-2011 [213]

Answer:

A

Step-by-step explanation:

the graph does not mention pens (exept in the title)

so not c or d

so it has to be A

5 0
2 years ago
Read 2 more answers
It's no small feat to travel 160,000,000km, to visit 200 million children, in 800 million homes, in only 34 hours... Luckily San
gladu [14]
The traveling time would be 470,588.235294km/hr
5 0
3 years ago
A cylinder has a radius of 10 inchunits s and a height of 6 inches. About what is it’s volume in cubic inches? Use 3.14
kotykmax [81]

Given: A cylinder with radius = 10 inches and height = 6 inches.

We have to determine the volume of the cylinder.

Volume of a cylinder with radius 'r' and height 'h' is given by the formula \pi r^2 h

Substituting the value of 'r' and 'h', we get

Volume = 3.14 \times (10)^2 \times 6

Volume = 314 \times 6

Volume = 1884 cubic inches.

Therefore, the volume of the cylinder is 1884 cubic inches.

4 0
3 years ago
Does anyone know the answer
matrenka [14]

Answer:

G

Step-by-step explanation:

Try to understand what this equation is saying and what plugging in different values would represent.

At x=0, b(0)=850; which means the initial balance is $850. So H is incorrect.

At x=1, b(1)=871.25; which means that after 1 year, the initial balance will have increase to $871.25. So J is incorrect.

Since the initial vacation of 850 is being multiplied by a factor which is greater than one, the balance will be increased each year. So F is incorrect.

Finally, if we look at the factor by which we are multiplying, do a simple Algebraic step, and convert it into percentages we get:

1.025 = (1 + 0.025) = 100% + 2.5%

Essentially this is showing us that the balance will increase by 2.5% on however much is in the account each year.

So G is your answer.

8 0
3 years ago
Other questions:
  • Lara wants to inscribe a square in a circle using only a compass and straightedge. She will first construct a circle and locate
    11·1 answer
  • A fair die is rolled 10 times. What is the probability that an odd number (1, 3, or 5) will occur fewer than 3 times?
    10·1 answer
  • Which equation represents the function represented by the table? 17 POINTS!!!
    13·1 answer
  • WILL GIVE BRAINLIEST
    11·1 answer
  • Which graph represents a function that is decreasing at a nonconstant rate?
    7·1 answer
  • 8. Rename the quadratic function f(x) = -2(x + 4)2 - 5 in standard form. A. f(x) = -2x2 + 16x - 37 G. f(x) = -2x2 – 16x + 27 B.
    15·1 answer
  • Lin runs 5 laps around a track in 6 minutes If Lin runs 21 laps at the same rate, how long does it take her
    13·1 answer
  • Which is greater 1.831 or 1.381?​
    15·1 answer
  • Help me pls i need this answered
    9·2 answers
  • Max is determined the volume of the triangle pyramid below.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!