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
Ivahew [28]
3 years ago
7

In trapezoid ABCD with legs AB and CD , diagonals BD ∩ AC =M so that BM:MD=1:4. Find AAMD, ACMD, and AACD if the area of AABM=8

in2.

Mathematics
1 answer:
bazaltina [42]3 years ago
5 0

Answer:

Area of triangle AMD is 32 square inches.

Area of triangle CMD is 8 square inches.

Area of triangle ACD is 40 square inches.

Step-by-step explanation:

In trapezoid ABCD with legs AB and CD.

Diagonal BD and AC intersect at M so that BM:MD=1:4

We are given ar(ABM)=8 in²

Ratio of area of two triangle is equal to ratio of their base.

\dfrac{ar(ABM)}{ar(AMD)}=\dfrac{BM}{MD}

\dfrac{8}{ar(AMD)}=\dfrac{1}{4}

ar(AMD)=32\text{ in}^2

Thus, Area of triangle AMD is 32 square inches.

If two triangles lie on same base and same parallel line then their area is equal.

\therefore ar(ABD)=ar(ACD)

ar(ACD)=ar(ACD)=ar(AMD)+ar(ABM)

ar(ACD)=8+32\Rightarrow 40\text{ in}^2

Thus, Area of triangle ACD is 40 square inches.

ar(CMD)=ar(ACD)-ar(AMD)

ar(CMD)=40-32\Rightarrow 8\text{ in}^2

Thus, Area of triangle CMD is 8 square inches.

You might be interested in
What is the area of this trapezoid? Enter your answer in the box.​
mezya [45]

Answer:

352 ft²

Step-by-step explanation:

The formula for the area of a trapezoid is A=(\frac{b_1+b_2}{2})h where b_1 and b_2 are the bases of the trapezoid and h is the height, thus:

A=(\frac{b_1+b_2}{2})h\\\\A=(\frac{13+31}{2})(16)\\\\A=(\frac{44}{2})(16)\\ \\A=(22)(16)\\\\A=352

This means that the area of the trapezoid is 352 ft².

5 0
2 years ago
Problem Solving
Misha Larkins [42]
No. Four times five is twenty, so if Andrea has five five dollar bills, she can afford the tennis shoes. <span />
5 0
3 years ago
What is revenue from property taxes usually used for?
grandymaker [24]
Revenue from property taxes is used to fund all the services the municipal government provides us with, such as building a new park in the neighbourhood.
4 0
3 years ago
Read 2 more answers
Does anyone know the answer please help!! I appreciate it if you can!!!
alisha [4.7K]
Alright, so the slope is alws in the middle so “u”
6 0
2 years ago
WHAT IS 24 DIVIDED BY 48 WITH WORK PLEASE
kotegsom [21]
So,

\frac{24}{48}

Write in prime factored form.
\frac{2*2*2*3}{2*2*2*2*3}

Cross-cancel
\frac{1}{2}
7 0
3 years ago
Read 2 more answers
Other questions:
  • Explain what it means for one part of the graph to be steeper than another
    7·1 answer
  • You can stuff envelopes twice as fast as your friend. Together, you can stuff 6750 envelopes in 4.5 hours. How long would it tak
    10·2 answers
  • Can Someone please explain how to solve this. The directions say, "Solve the system by graphing. Then check your solution."​
    15·1 answer
  • The circle shown has the center o and the measure of angle aob is 45. if the area of the shaded sector is 18 pi what is the radi
    15·1 answer
  • Dan invests £13000 into his bank account. He receives 4% per year simple interest. How much will Dan have after 6 years? Give yo
    11·1 answer
  • I need help with this.
    15·1 answer
  • Which graph represents a function? <br> Please help ASAP-thanks
    5·1 answer
  • PLEASE HELP ASAP ! WILL GIVE BRAINLIEST Quadrilateral OPQR is inscribed inside a circle as shown below. What is the measure of a
    10·1 answer
  • Given b(x)=|x+41|, what is b(-10)?
    15·1 answer
  • What is the probability of rolling a 5 on a six sided number cube
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!