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
ZanzabumX [31]
3 years ago
14

Please help me with the problem​

Mathematics
2 answers:
Ivan3 years ago
5 0

Exact Answers:

  • Area = 150.5*sqrt(3)
  • Perimeter = 57+7*sqrt(3)

Approximate Answers:

  • Area = 260.673646539
  • Perimeter = 69.12435565

======================================

Explanation:

Your diagram is 100% correct. Nice work.

To get the area of the trapezoid, we could use the area of a trapezoid formula below:

A = h*(b1+b2)/2

In this case, we have,

  • h = 7*sqrt(3) = height
  • b1 = 18 = base1
  • b2 = 25 = base2

the bases are parallel to each other. The height is always perpendicular to the base. We won't use the "14" at all.

So,

A = h*(b1+b2)/2

A = 7*sqrt(3)*(18+25)/2

A = 7*sqrt(3)*21.5

A = (7*21.5)*sqrt(3)

A = 150.5*sqrt(3)

This is the exact area.

The approximate area is roughly

150.5*sqrt(3) = 260.673646539

The units for the area are in square km, or km^2. Though your teacher said for you not to include the units.

Another way to get the area of the trapezoid is to break the diagram into a rectangle and triangle as you have done so, and then find the area of each sub-piece. Adding the two smaller areas should lead to the result shown above.

-----------------------------------

To get the perimeter, we add up all of the exterior sides. We do not include the right-most vertical line that is 7*sqrt(3) km long because it is inside the figure. The horizontal segment that is 7 km long is part of the "25 km" segment, so we'll ignore that 7.

Adding the four exterior sides leads to:

7*sqrt(3)+18+14+25 = 57+7*sqrt(3)

This value is exact. It approximates to

57+7*sqrt(3) = 69.12435565

The units for the perimeter are in kilometers, and you won't have any exponent over the "km". While your teacher doesn't want the units, it's still handy to know what the units would be.

larisa86 [58]3 years ago
5 0

Step-by-step explanation:

solution given:

for rectangle

length [l]=18km

breadth [b]=7√3 km

for triangle

base[b1]=25-18=7km

height [h]=b=7√3km

for area :area of. (rectangle +triangle}=

l×b+1/2 b1×h=18×7√3+1/2 ×7×7√3=260.67km²

now

perimeter=sum of all sides

=18+14+25+7√3=69.12km

is your answer

You might be interested in
PLs i need halep fast plssssss
Delvig [45]

Answer:

b=44

b=44 - 9

b=44 + 5

x+x+x = 44

x + (x-9) + (x+5) = 44

3x - 4 = 44

+4

3x =48

÷3

x=16

So, first photo contains 16 birds.

x=16

(x-9) - - > 16-9 = 7

(x+5) - - >16+5=21

16 + 7 + 21 =44

Answer is 16 birds in first photo

Hope this helps!

6 0
2 years ago
What is the perimeter of quadrilateral dobc? 14 units 16 units 22 units 28 units?
Anna007 [38]
I know its 28 units i had it on a test
6 0
3 years ago
Read 2 more answers
2. Jessica is a waitress. Her customer’s bills totaled $300. She earned $45 in tips. What percent did her customers tip her? ___
zepelin [54]

Answer:

15%

Step-by-step explanation:

$45/$300 = 0.15 = 15%

4 0
3 years ago
Read 2 more answers
In 2016, a billionaire's net worth was approximately $3.6 x 109. That same year, it
Alekssandra [29.7K]

Answer:

all you do is multiply 3.6 and 109 to see if its 45,000 per year

Step-by-step explanation:

3 0
3 years ago
A warehouse floor has a perimeter of 6,615 feet what is the perimeter of the floor in yards
worty [1.4K]

Answer:

1xgr7`0ryu932

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • How many solutions does the system have?<br> y = -2x - 4<br> ly=3x +3
    8·2 answers
  • PLEASE HELP ASAP I NEED IT SO BAD
    10·1 answer
  • the side of an equilateral triangle are8 units long. what is the length of the altitude of the triangle?
    6·1 answer
  • A box of cereal weigh 600 grams how much is this weight in pounds? Explain your reasoning
    13·1 answer
  • What goes into 72 and 8 ?<br> :)
    14·2 answers
  • write an equation of the line that passes through (-1,7) and is parrallel to the line whose equation is y=-2x-5
    8·1 answer
  • 3. How can you use the graph for Exercise 2 to find how many cups are in 9 quarts?
    11·1 answer
  • PLEASE HELP!! What is the standard deviation of a data set whose values are all the same?
    13·2 answers
  • Fr33 points,<br> anyone like morgan wallen?
    13·2 answers
  • Choose the inequality represented in the graph.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!