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write an expression for the area of the gym. Write an expression for the area of the cafeteria. Write an expression for the total area of the gym and cafeteria. Write an expression for the total perimeter of the gym and cafeteria.
Answers
Answer:
a. The expression for the area of the gym is 15·x
b. The expression for the area of the cafeteria is 15·x + 45
c. The expression for the total area of the gym and the cafeteria is 30·x + 45
d. The expression for the total perimeter of the gym and the cafeteria is 36 + 4·x
Step-by-step explanation:
The parameters of the given figures are;
The width of the figure, w = 15
The breadth of the gym, [tex]b_{gym}[/tex] = x
The breadth of the cafeteria, [tex]b_{cafeteria}[/tex] = x + 3
The shape of the area of the gym = A rectangle
The shape of the area of the cafeteria = A rectangle
a. The expression for the area, 'A₁', of the gym is given by the area of a rectangle which is Width × Breadth
The area of the gym, A₁ = The width of the figure × The breadth of the gym
Therefore, we have; The area of the gym, A₁ = w × [tex]b_{gym}[/tex]
A₁ = 15 × x
The area of the gym, A₁ = 15·x
b. The area of the cafeteria, A₂ = The width of the figure × The breadth of the cafeteria
The area of the cafeteria, A₂ = w × [tex]b_{cafeteria}[/tex]
∴ A₂ = 15 × (x + 3) = 15·x + 45
The expression for the area of the cafeteria, A₂ = 15·x + 45
c. The expression for the total area of the gym and the cafeteria, 'A', is given as follows;
A = A₁ + A₂
∴ A = 15·x + 15·x + 45 = 30·x + 45
The expression for the total area of the gym and the cafeteria = 30·x + 45
d. The expression for the total perimeter of the gym and the cafeteria, 'P', is given as follows;
P = The perimeter of the rectangular area of the gym plus the area of the cafeteria
∴ P = 2 × 15 + 2 × (x + x + 3)
P = 30 + 4·x + 6
P = 36 + 4·x
The expression for the total perimeter of the gym and the cafeteria P = 36 + 4·x.
Related Questions
Solve for x
51 = 3x
Option choices
x = 3
x = 17
x = 48
x = 54
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Answers
Answer:
x = 17
Step-by-step explanation:
3x = 51
x = 51 ÷ 3
x = 17
Answer:
x=17
Step-by-step explanation:
51 needs to be divided by 3 in order to get the variable by itself. 51/3=17
What is 9/4 in decimal form
Answers
Answer:
2.25Explanation:
2.25 is a decimal and 225/100 or 225% is the percentage for 9/4.
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Hope I helped!!!
GL :)
Two cylinders,a and b each started with different amounts of water.The graph shows how the height of the water changed as the volume of water increased each cylinder.Which cylinder has the larger radius explain how you know.
Answers
Answer:
B
Step-by-step explanation:
My teacher just told me
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fit into 42 rooms?
Answers
Answer:
350 people can fit into 42 rooms
Step-by-step explanation:
So we can write it as a relation fraction equation:
[tex]\frac{50}{6}=\frac{x}{42}[/tex]
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I hope it helps you!
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Answers
Answer:
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Step-by-step explanation:
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I = (1990)(0.05)(2)
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The power 92 is equivalent to 81. What is the value of 9-2?
-81
-9
81
Answers
Answer:
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Step-by-step explanation:
I am not sure why it is not in your choices but I think that's the answer!
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Answers
Answer:
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Step-by-step explanation:
On a coordinated plane how are the locations of the points (-8,-4)and(8,-4)related?
Answers
Answer:
they are related because they are across the x axis
The blueprint for a chicken coop have a scale of 1 inch to 5 feet. If the area of the blueprint is 15 square inches, what is the area of the actual chicken coop
Answers
Answer:
75 feet²
Step-by-step explanation:
A scale drawing is the reduced image of another image
If the scale is 1 inch to 5 feet, it means that 1 inch presents 5 feet
If the area of the blueprint = 15 inches
It means the actual chicken coop would be 5 feet times larger than the blueprint
Actual area of the chicken coop = 15 inches² x 5 = 75 feet²
PLEASE HELP FAST BRAINEIST
The sum of two numbers is 35 and the difference is 7. What are the numbers? Larger number: Smaller number:
Answers
Larger number: 21
x + (x + 7) = 35
2x + 7 = 35
2x = 28
x = 14
14+7
21
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smaller number:14
A 200 kg sailboat experiences an unbalanced force of 895 N pushing it forward, what is the sailboat's acceleration?
Answers
Answer:
4.5m/s^2
Step-by-step explanation:
Given data
Mass= 200kg
Force= 895N
Required
the acceleration a
We know that
F=ma
a= F/m
substitute
a= 895/200
a= 4.5 m/s^2
Hence the accelaration is 4.5m/s^2
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Answers
Answer:
I said 24. I hope this helps and works
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Answer:
Step-by-step explanation:
So for this one you need to find how much text messeages you make in a day and subtract it from 19.
The second one confused me though.
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Answers
Answer:
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Step-by-step explanation:
photo explains it use it
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Answers
My screen is very blurry.
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Answers
Answer:
158in^2
Step-by-step explanation:
Answer:
158 in^2
Step-by-step explanation:
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Solve the following fraction problem, it is written
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please
help
Answers
Answer:
[tex]\frac{4}{5\\}[/tex]
Step-by-step explanation:
So, when dividing fractions, all you have to do is flip the second fraction and multiply. Like this:
[tex]\frac{2}{3}[/tex] × [tex]\frac{6}{5}[/tex] = [tex]\frac{12}{15}[/tex]
After that, all you have to do is simplify that fraction. Like this:
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Answers
Answer:
29 approximately
Step-by-step explanation:
You want to estimate 35% of 84. 35% is roughly equivalent to 1/3, so multiply 84 by 1/3 (or, equivalently, divide 84 by 3), obtaining 28. Use a calculator to find 0.35(84): 29.4. This 28 is a fairly good estimate of 35% of 84 which is 29.4.
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Answers
The following geometric figures that is the plane shape of a cube is C
Answer:
ok I will help you with it
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Answers
Answer: 62
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X = 62
Answer:62
Step-by-step explanation:
:)
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Answers
Answer:
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Step-by-step explanation:
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In order to make an A on her project, Sarah needs a least 160 points. She has already turned in part of her work and has been given 125 points so far. Write and solve an inequality that models this situation and find out how many points Sarah need on the last part of her work.
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B). at least 45 points
C). less than 35 points
D). less than 45 points
Answers
have a great day hope I helped!
Emliy has 13 candies and wants to give an even amount to each of her 3 friends. How many candies do each of emily's friends get, and how many candies are left over
Answers
Answer:
Each friend gets 4 candies and there is 1 left over.
Step-by-step explanation:
4 x 3 = 12.
13 - 12 = 1.
3 times 4= 12
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What is an equation of a parabola with its vertex at (1,1)?
What is an equation of a parabola with its vertex at (-1,-1)?
What is the equation of a parabola with its vertex at (2,2) that passes through the origin?
What is the equation of a parabola with its vertex at (-2,2) that passes through the origin?
Answers
Answer:
For the first question: y = x^2
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For the third question: y = x^2 + 2x + 1
For the fourth question: y = x
For the fifth question: y = -x
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Answers
Answer:
the third graph
Step-by-step explanation:
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Answers
Answer:
she will have 3,600 dollars when she is 18
Step-by-step explanation:
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Answers
Answer:
D
Step-by-step explanation:
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Answers
Answer: [tex]2d^2-2d[/tex]
Step-by-step explanation:
Given
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how many pencils could you but for $22?
Answers
so 17
Answer:
i think .... 88 pencils
Step-by-step explanation:
$1.25 = 5 pencils
1 pencil = $1.25/5 = $0.25/pencil
pencils you could buy for $22 :
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Answers
Answer:
I am pretty sure it is B
Step-by-step explanation:
1169 sq.rt.=34.190642
34.190642 times 4 =136.7
round to 137