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
Slav-nsk [51]
2 years ago
11

ACTIVITY 2 (19) Mr Duma recently inherited a rectangular plot, part of the estate left by his late father. The plot with the fol

lowing dimensions: Length = 2x +1; Width = x-1. Q a P SO R He has plans to do the following projects on the plot: Project A: Purchase fencing material to enclose three sides of the plot as follows: SP, PQ and QR. Project B: Build a fancy wall on the front side, SR. Project C: Construct paving for a third of the plot. 2.1 Determine the formulae that will be suitable for each of the projects mentioned above. For each formula, also give the reason for your choice. Write down the information in the table attached. Reason Project Formulae A B С (9)​
Mathematics
1 answer:
seraphim [82]2 years ago
6 0

The sum of the lengths of three sides of the rectangle, gives the length

of the fencing, while one third of the rectangle area is for the pavement.

Responses:

Project A: The formula for the length of the fencing is, L = 4·x - 1

Project B: Length of the fancy wall = 2·x + 1

Project \ C:Area \ of \ the \ paving = \underline{ \dfrac{2\cdot x^2 }{3} - \dfrac{x }{3}  - \dfrac{1}{3}}

<h3>Which method can be used to find the length and area of paving from the given equations?</h3>

Project A: Let QP and SR represent the longest sides of the rectangle, we have;

PQ = SR = 2·x + 1

Given parameters are;

Length of the rectangular plot = 2·x + 1

Width of the rectangular plot = x - 1

Vertices of the rectangular plot are; QPSR

Project A: Let QP and SR represent the longest sides of the rectangle, we have;

PQ = SR = 2·x + 1

Which gives;

SP = QR = x - 1

The length of the fencing, L = SP + PQ + QR = x - 1 + 2·x + 1 + x - 1 = 4·x - 1

  • The formula for the length of the fencing is, L =<u> 4·x - 1</u>

Project B: The front side is SR

Therefore;

  • Length of the fancy wall = <u>2·x + 1</u>

Project C:

Area, A = Length × Width

Area of the plot, A = (2·x + 1) × (x - 1) = 2·x² - x - 1

  • Area \ of \ the \ paving = \dfrac{1}{3} \times \left(2 \cdot x^2 - x - 1\right) = \underline{ \dfrac{2\cdot x^2 }{3} - \dfrac{x }{3}  - \dfrac{1}{3}}

Learn more about writing equations here:

brainly.com/question/24760633

You might be interested in
What is a fraction has both a negative denominator and numerator?
liubo4ka [24]
Negative divided by negative makes a positive
6 0
3 years ago
Pls help asap!!!!!!!!!!! points will be a lot! plssssss
Sliva [168]

Step-by-step explanation:

(n-m) out of n

not sure if this is correct or something....

8 0
2 years ago
Read 2 more answers
Mark is covering an 8-inch-square board with 1-inch-square tiles. He uses gray tiles to make four 2-in. by 2-in. squares. He cov
KonstantinChe [14]
48 because if you take the total area and subtract the area of the small squares you get 48 square inches left white
6 0
3 years ago
Katha walks 5 blocks east. Then she walks straight back to where she started and walks 5 blocks west.
anyanavicka [17]

Answer:

5 is the point on the number line how far she walked east

0 is the point on the number line where she began walking

-5 is the point on the number line how far she walked west

Step-by-step explanation:

5 0
3 years ago
Find 24% of 165. Need explanation
Irina-Kira [14]

Answer:

39.6

Step-by-step explanation:

i would give explanation but im bad at doing that

4 0
2 years ago
Read 2 more answers
Other questions:
  • An angle measured 34 degrees less than the measure of a complementary angle. What is the measure of each angle?
    9·1 answer
  • Y = 2x - 2 , y = 2x + 9 . what's the solution ?
    13·2 answers
  • Plz help....................
    12·1 answer
  • Ryan has x stamps in his collection if he was 6 times as many stamps as penny, how many stamps does penny have in her collection
    7·1 answer
  • The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to d
    15·1 answer
  • What does four x plus five equal to?
    11·1 answer
  • Answer mah question pleeease~
    5·2 answers
  • X^100+1 divide by x+1​
    12·1 answer
  • A quantity with an initial value of 510 decays exponentially at a rate of 0.05% every 7
    11·1 answer
  • Help please!!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!