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
jeka94
3 years ago
6

The perimeter of a triangular plot of land is 2400 ft. The longest feet is 200 ft less than twice the shortest. The middle side

is 200 ft less than the longest side. Find the lengths of the three sides of the triangular plot. ...?
Mathematics
1 answer:
Rufina [12.5K]3 years ago
4 0
The answer is 1000 ft, 800 ft, 600 ft.

Let:
a - the longest side
b - the middle side
c - the shortest side

The <span>perimeter of a triangular plot of land is 2400 ft: P = 2400 ft
The perimeter of a triangle is P = a + b + c, thus a + b + c = 2400

</span><span>The longest feet (a) is 200 ft less than twice the shortest (c): a = 2c - 200
</span><span>The middle side (b) is 200 ft less than the longest side (a): b = a - 200

Now, we have the system of three equations:
</span>a + b + c = 2400
a = 2c - 200
b = a - 200
__________
Substitute a from the second equation into the third equation:
b = 2c - 200 - 200 = 2c - 400
__________
Substitute a and b into the first equation:
(2c - 200) + (2c - 400) + c = 2400
2c - 200 + 2c - 400 + c = 2400
2c + 2c + c - 200 - 400 = 2400
5c - 600 = 2400
5c = 2400 + 600
5c = 3000
c = 3000/5
c = 600 ft
_________
Now, use c and substitute into the second and third equation:
a = 2c - 200
a = 2 * 600 - 200
a = 1200 - 200
a = 1000 ft
___
b = a - 200
b = 1000 - 200
b = 800 ft
You might be interested in
What times 3 equals 3/10
Mumz [18]

Answer:

1/10

Step-by-step explanation:

Divide 3/10 by 3. Remember to "keep, flip, change".

3/10 ÷ 3/1

3/10 × 1/3

Multiply across: 3/10 × 1/3 = 3/30

Simplify: 3/30 = 1/10

7 0
3 years ago
The chairlift at a ski resort rises a total of 2600 feet from where it starts. The angle of elevation is about . How far do ride
MArishka [77]
<span>Since 3100/1.4*5280=3100/7392=24.8 degrees for the angle of the ski slope.</span>
7 0
3 years ago
What is 2,400 milliliters converted into liters
BARSIC [14]

Answer:

2.4 liters

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
2. A dance floor is a square with an area of 1,444 FT(2). What are the dimensions of the dance floor?
svet-max [94.6K]

Answer:

The answer is C use a calculator

Step-by-step explanation:

not that hard lol

8 0
3 years ago
I got this question wrong on a warm-up in class and I'm doing error analysis. Can someone solve this and explain why? I'm giving
Studentka2010 [4]

Answer:

your answer would be D :)

7 0
2 years ago
Other questions:
  • I know it’s a lot to ask but please show your work so I know how to do it. Thank you!
    9·1 answer
  • the running back for the Eagles football team carried the ball 17 times for a total loss of 85 yards find the average change in
    13·1 answer
  • The graph shows the system of which two equations?<br> Watch the intervals.
    14·2 answers
  • Can u pls help me with this question ​
    12·1 answer
  • Graph the inequality <br> y&gt;-4x+1
    5·1 answer
  • 0.1/2 as a decimal <br> plz help
    6·1 answer
  • Which unit rate is the lowest price per ounce? (5 points)
    13·1 answer
  • Please help me with this equation
    5·1 answer
  • What is 5 + 5 + 5 + 5 + 6 + 7 + 5 + 6 + 4 + 4+ 4 + 6+ 3 + 3 + 1 + 9?
    13·2 answers
  • Please help with A, B, and C!! Giving BRAINLIEST
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!