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
mel-nik [20]
3 years ago
14

The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 12 cm, the length of a radius of the circle i

s 2 cm. Find the area of the quadrilateral.
Mathematics
1 answer:
Vikki [24]3 years ago
5 0

Answer:

  24 cm²

Step-by-step explanation:

We assume that is a circumscribing quadrilateral, rather than one that is circumscribed. It is also called a "tangential quadrilateral" and its area is ...

  K = sr

where s is the semi-perimeter, the sum of opposite sides, and r is the radius of the incircle.

  K = (12 cm)(2 cm) = 24 cm²

_____

A quadrilateral can only be tangential if pairs of opposite sides add to the same length. Hence the given sum is the semiperimeter.

You might be interested in
What is the simplified form of each expression?<br><br> 7x^–8 × 6x^3
klio [65]
7*6*x^-8*x^3     
42x^-8+3                    (bases same powers add)
42x^-5
1/42x^5
<span>so the simplified </span>form<span> of 7x^-8*6x^3 is=1/42x^5</span>
7 0
3 years ago
QUICKK
VLD [36.1K]
3x + 4(2) = 20
3x + 8 = 20
3x = 12
x = 4
(4,2)
You have y=2 then all you need to do is plug 2 into the y in the equation 3x + 4y = 20 and do the math to find x. Hope this helps
7 0
3 years ago
-6 + 3a - b - 4a + 4b + 5
Naddika [18.5K]

Step-by-step explanation:

hope this may help you tq have a nice day

5 0
3 years ago
Two fractions equivalent to 28/32
DanielleElmas [232]
14/16 & 7/8 Would be two Equivalent 
6 0
3 years ago
Read 2 more answers
If 16 ink pens cost $1.92, then ___<br> pens cost $1.32.
Ira Lisetskai [31]

Answer: 3

Step-by-step explanation: 2+2-1=3

7 0
2 years ago
Read 2 more answers
Other questions:
  • the initial balance of a savings account was $275 after which transactions will the balance of the saving account be the same as
    9·2 answers
  • Ben drinks tea at an incredible rate. He drinks 3 1/2 liters of tea every 2/3 of an hour. Ben drinks tea at a constant rate. How
    5·2 answers
  • How do I solve 10p+5=18p-6/2
    14·1 answer
  • One light-year equals 5.9 x 1012 miles. How many light-years are in 6.79
    7·1 answer
  • Ann says that is less than
    15·1 answer
  • Graph the function. <br><br> y = –2x^2 + 6x – 2
    9·1 answer
  • Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and
    6·1 answer
  • Write a function rule for the following geometric sequence.
    13·1 answer
  • What rule would you allow to test weather (x,y) is on line l
    12·1 answer
  • the the area of a rectangle with perimeter 40 cm and 75 cm square find the length and width of the rectangle​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!