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
Rama09 [41]
3 years ago
6

Find the area of rectangle PLUM

Mathematics
1 answer:
torisob [31]3 years ago
7 0

Answer:

A = 53.34 units ^ 2

Step-by-step explanation:

To find the length of the rectangle we solve the PLA triangle

Using the Pythagorean theorem we find the PL side.

PL = \sqrt{4^2+12^2}\\PL = \sqrt{16+144}\\PL = 12.65

Then the length of the rectangle is 12.65

Now we solve the MALU triangle. Where MU = PL

We use the Pythagorean theorem:

MU^2+LU^2 = (MA + AL)^2\\12.65^2+LU^2 = (MA+12)^2

Where LU and MA are unknown.

Finally we solve the triangle MPA

MA^2 + PA^2 = PM ^2

Where PM = LU

So:

MA^2 + 4^2 = LU^2

Now we have two equations and two unknowns. So we solve the system.12.65^2 + LU^2 = (MA + 12) ^2  (i)

MA^2+4^2 = LU^2  (ii)

We introduce (ii) in (i)

12.65^2 + MA^2+16=MA^2+24MA+144

Now we clear MA

160.02+16-1 44 = 24MA

32.02 = 24MA

MA = \frac{32.02}{24}

MA = 1.3342 (iii)

Now we introduce (iii) in (ii)

1.3342^2 + 4^2 = LU^2

LU = 4.2166

Now we have the length of the rectangle and also its width.

The area A of a rectangle is:

A = l*w

Where

 l = length

w = width

A = 4.2166*12.65

A = 53.34 units^2

You might be interested in
Carlos baked pies for a Party. He cut some pies into 6 pieces and some into 8 pieces. After the party, more than 2 halfs (2 1/2)
natulia [17]

Answer:6

Step-by-step explanation:

7

6 0
3 years ago
Solve for y: 18x + 3y = 24​
Sidana [21]

Answer: y=8-6x

Step-by-step explanation:

8 0
3 years ago
Which is an advantage of using equations for solving problems?
Arisa [49]

Answer:

D.Every problem needs an equation in order to be able to solve it

4 0
2 years ago
Read 2 more answers
What two numbers add to 12 and multiply to 35
inessss [21]
5 and 7
5 + 7 = 12
5 x 7 = 35
5 0
3 years ago
Read 2 more answers
50 POINTS
Zolol [24]

Answer:

90

Step-by-step explanation:

In a box plot, the point farthest to the line is the greatest or maximum number of the problem(in this case E). You look for the greatest number out of them all and that would be your answer(90).

Can i pretty please with a cherry on top get brainliest??

:>

6 0
2 years ago
Read 2 more answers
Other questions:
  • Plz help..................refresh page before u answer
    13·2 answers
  • (a^2-ax+bx-ab)/(a^2+ax-bx-ab)*(a^2+ax+ab+bx)/(a^2-ax-ab+bx)
    11·1 answer
  • How to do the discriminant and the quadratic formula?
    5·1 answer
  • Work out the balance for £1500 invested for 2 years at 3.7% per annum
    12·1 answer
  • How do you solve:<br> Y=-x-3y
    6·1 answer
  • For breakfast Bob has three options: cereal, eggs or fruit. He has to choose exactly two items out of the three available. (a) D
    13·1 answer
  • Simone collects refrigerator magnets she has 754 magnets in her Collection if each box can hold 22 magnets how many boxes can Si
    9·2 answers
  • -6.2r - 4.6 -2.9r + 8.5<br> simplify the expression by combining like terms. PLZ HELP ASAP
    6·1 answer
  • Line a passes through points
    9·1 answer
  • Find the slope from the following table.<br> I need to finish this and I need some help.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!