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
Anvisha [2.4K]
3 years ago
9

someone please explain to me how to find the area PLEASE! Find the area and perimeter of quadrilateral ABCD below. Explain your

process for finding both the area and the perimeter, and show your mathematical steps clearly.

Mathematics
1 answer:
Lunna [17]3 years ago
7 0

Answer:

Part A) The area of the figure is 24\ units^{2}

Part B) The perimeter of the figure is 20\ units

Step-by-step explanation:

step 1

Find the area of the figure

we know that

The area of the figure is equal to the area of triangle ABD plus the area of triangle BCD

The area of triangle is equal to

A=\frac{1}{2}bh

<u>Area of triangle ABD</u>

Observing the graph

b=BD=(-2+8)=6\ units

h=(9-5)=4\ units

substitute

A=\frac{1}{2}(6)(4)=12\ units^{2}

<u>Area of triangle BCD</u>

Observing the graph

b=BD=(-2+8)=6\ units

h=(5-1)=4\ units

substitute

A=\frac{1}{2}(6)(4)=12\ units^{2}

The area of the figure is

12\ units^{2}+12\ units^{2}=24\ units^{2}

step 2

Find the perimeter of the figure

we know that

The perimeter of the figure is equal to

P=AB+BC+CD+AD

we have

A(-5,1),B(-8,5),C(-5,9),D(-2,5)

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

Find the distance AB

d=\sqrt{(5-1)^{2}+(-8+5)^{2}}=5\ units

Find the distance BC

d=\sqrt{(9-5)^{2}+(-5+8)^{2}}=5\ units

Find the distance CD

d=\sqrt{(5-9)^{2}+(-2+5)^{2}}=5\ units

Find the distance AD

d=\sqrt{(5-1)^{2}+(-2+5)^{2}}=5\ units

substitute the values

P=5+5+5+5=20\ units

You might be interested in
Which expression is equivalent to 4/9x7?
LiRa [457]

Is there an answer key?

8 0
3 years ago
PLEASE HELP PLEASE I DONT KNOW THIS QUESTION AND IVE BEEN STUCK ON THIS FOR A DAY​
7nadin3 [17]
A is -5 and B is 1 so yeah
8 0
2 years ago
Read 2 more answers
I am stuck. Please help.
natulia [17]

Answer:

the first one: 24.8

the second one: 2012

5 0
3 years ago
Read 2 more answers
The force F between 2 objects is inversely proportional to the square of the distance, d between them. The force is 0.36 newtons
LenaWriter [7]

Answer:

0.73 N to 2 dp.

Step-by-step explanation:

F = k/d^2   where k is a constant , F = force and d = distance.

Substituting:

0.36 = k / (6)^2

k = 36*0.36 = 12.96 s the equation is F = 12.96 / d^2.

When d = 4.2 :

F = 12.96 / 4.2^2

F = 0.73 Newtons to 2 dp.

5 0
3 years ago
Pick correct graph from multiple choice options. A.B.C.D
maw [93]

Answer:

it is B

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • What’s the answer to 3/4 +5/8
    7·1 answer
  • The first four terms of a sequence are shown below 9,5,1,-3
    15·1 answer
  • Help me with writing this exression please
    7·1 answer
  • What equation does the model below represent?
    12·2 answers
  • Please help this is late and i need to do it now
    9·1 answer
  • Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below/attached
    7·2 answers
  • The six-pack of rolls sells for $5.28. What is the price for one roll?
    11·2 answers
  • Splitting investments. Joan had $3,000 to invest. She invested part of it in an investment paying 8% and the remainder in an inv
    9·1 answer
  • What is the volume of the triangle prism? ( HELP PLEASE )
    12·1 answer
  • Given P(A)=0.4P(A)=0.4, P(B)=0.26P(B)=0.26 and P(A\text{ or }B)=0.436P(A or B)=0.436, find the value of P(A\text{ and }B)P(A and
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!