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
Tina wants to decorate a rectangular picture frame measuring 18 w 14 tall she has 4 ft of rope dies she have enough rope
igor_vitrenko [27]

Tina does not have enough rope to decorate the frame

Step-by-step explanation:

Tina wants to decorate a rectangular picture frame

  • The width of the frame is 18 inches
  • The length of the frame is 14 inches
  • She has 4 feet rope

We want to know if she has enough rope or not to decorate the frame

∵ The frame is in the shape of the rectangle

- The length of the rope must be equal the perimeter of the frame

∵ The perimeter of a rectangle = 2 length + 2 width

∵ The length = 14 inches

∵ The width = 18 inches

∴ The perimeter of the frame = 2(14) + 2(18) = 28 + 36 = 64 inches

∵ The length of the rope is 4 feet

∵ 1 foot = 12 inches

∴ The length of the rope = 4 × 12 = 48 inches

∵ 48 < 64

∴ The length of the rope is less than the perimeter of the frame

∴ Tina does not have enough rope

Tina does not have enough rope to decorate the frame

Learn more:

You can learn more about word problems in brainly.com/question/12148432

#LearnwithBrainly

5 0
3 years ago
The sum of two numbers is 24. The difference is 15. What are the two numbers?
tatiyna
The numbers are "x" and "y",
we suggest this system of equations.
x+y=24
x-y=15
solve by reduction method.
x+y=24
x-y=15
-----------------
2x=39      ⇒x=39/2=19.5

  x+y=24
-(x-y=15)
-------------------
   2y=9    ⇒y=9/2=4.5

The numbers are 19.5 and 4.5

To check
19.5+4.5=24
19.5-4.5=15
3 0
3 years ago
A ray is a defined term because ?
scoray [572]
It
can be described useing two other undefined terms :- point & line
6 0
3 years ago
Jesse used of a can of broth in his recipe. Maddy used of a same-sized can of broth in her recipe. Which statement is true? A. J
Paha777 [63]
It c they both used the same amount of broth
7 0
3 years ago
Read 2 more answers
PLEASE HELP
V125BC [204]
Multiplication :))
it’s the order of operations!
8 0
2 years ago
Other questions:
  • the ratio of the measures of three angles in a triangle is 10:3:7 find the measure of the largest angle
    8·1 answer
  • Write down the coordinates of the point where the graphs of y = - x + 4 and y = − x + 4y = x − 2 intersect
    15·1 answer
  • Johnny deposited $1230 in a savings account at 2.25 percent interest. How much interest will the account earn in 10 years?
    13·2 answers
  • Which of the following expressions are equivalent
    12·1 answer
  • Find mZXZY<br> (8x - 1)<br> (5x + 11)
    13·1 answer
  • Can you help me on this?
    9·2 answers
  • Kayla buys a bag of cookies that contains 5 chocolate chip cookies, 9 peanut butter cookies, 5 sugar cookies
    7·1 answer
  • The formula to find the surface area (S) of a rectangular prism with a length (l), a width (w) and a height (h) is:
    9·2 answers
  • David is buying a cheese wheel priced at $ 14 $14dollar sign, 14 before tax. The store charges 8 % 8%8, percent sales tax. What
    14·2 answers
  • 1. What is the Area of the rectangle in terms of X?<br> 2. What is the value of X?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!