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
STALIN [3.7K]
3 years ago
12

ABCD is a trapezoid. What is the area of trapezoid?

Mathematics
1 answer:
lana [24]3 years ago
6 0
Let h represent the height of the trapezoid, the perpendicular distance between AB and DC. Then the area of the trapezoid is
  Area = (1/2)(AB + DC)·h
We are given a relationship between AB and DC, so we can write
  Area = (1/2)(AB + AB/4)·h = (5/8)AB·h

The given dimensions let us determine the area of ∆BCE to be
  Area ∆BCE = (1/2)(5 cm)(12 cm) = 30 cm²

The total area of the trapezoid is also the sum of the areas ...
  Area = Area ∆BCE + Area ∆ABE + Area ∆DCE
Since AE = 1/3(AD), the perpendicular distance from E to AB will be h/3. The areas of the two smaller triangles can be computed as
  Area ∆ABE = (1/2)(AB)·h/3 = (1/6)AB·h
  Area ∆DCE = (1/2)(DC)·(2/3)h = (1/2)(AB/4)·(2/3)h = (1/12)AB·h

Putting all of the above into the equation for the total area of the trapezoid, we have
  Area = (5/8)AB·h = 30 cm² + (1/6)AB·h + (1/12)AB·h
  (5/8 -1/6 -1/12)AB·h = 30 cm²
  AB·h = (30 cm²)/(3/8) = 80 cm²

Then the area of the trapezoid is
  Area = (5/8)AB·h = (5/8)·80 cm² = 50 cm²
You might be interested in
If a 11 inch wheel cost $21.35 what is the cost per square inch
Natali [406]

Answer:

$1.94 per square inch

8 0
3 years ago
How many different four-person relay teams can be chosen from eight students
aliina [53]
Slot method

8 optionns n 1st slot
7 options in 2nd slot (since 1 is at 1st slot)
6 options in 3rd slot
5 options in 4th slot

8*7*6*5=1680 ways
6 0
3 years ago
Answer the question in the picture. If its right I’ll mark brainliest
Kisachek [45]

Answer:

The answer is c!

Step-by-step explanation:

5 0
3 years ago
PLS HELP ME GUYS ITS MY LAST QUESTION IN GEOMETRY
aliina [53]

Answer:

Example = ( 12, 1 )

Step-by-step explanation:

There are many possible solutions to this equation, and all you would have to do to determine the ordered pair, is satisfy the following criteria -

x - 6y = 6,\\- 6y = - x + 6,\\y = 1 / 6x - 1

Take a look at a graph of the line y = 1 / 6x - 1. Any ordered pair that lies on this line is a solution to the equation. The " criteria " is that the ordered pair must lie on this line. Let me give you an example, ( 12, 1 ).

<u><em>Hope that helps!</em></u>

7 0
2 years ago
Explain three different ways on how to write a ratio table and provide an example of each.
grandymaker [24]

Answer:

look it up Answer:

Step-by-step explanation:

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • By​ air, the distance from city A to city B is 3008 miles less than the distance from city C to city D. If the total of these tw
    5·1 answer
  • What is the slope?<br> A) -5/4<br> B) 5/4<br> C)-4/5<br> D)4/5
    11·2 answers
  • Find 4/5 ÷ 16/17. Write your answer as a fraction in simplest form.
    11·2 answers
  • Can someone please help me with this.​
    9·1 answer
  • 4 2/5x=12 1/12<br><br> (Can You Help Me Please)
    6·1 answer
  • Jack is fishing on a pier that is 2 feet above the water. When he casts his rod, the hook
    15·2 answers
  • Is the following relation a function?
    5·1 answer
  • Find the area of the octagon with the length of one side 4in in the apothem of 7 in
    5·1 answer
  • A line has a slope of 10 and passes through the point (0, 7). What is its equation in slope intercept form?
    14·2 answers
  • Expressions in brackets should always be calculated first. If there are no brackets in an algebraic expression, it means that mu
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!