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
Kisachek [45]
1 year ago
14

(Score for Question 2: ___ of 10 points)

Mathematics
1 answer:
Vedmedyk [2.9K]1 year ago
4 0

The area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.

<h3>What is the area of trapezoid?</h3>

The area of the trapezoid is the space occupied by it on the two dimensional plane. The area of this figure is half of the product of height and sum of sides.

A=\dfrac{(a+b)h}{2}

Here, (a and b) are the base sides of the trapezoid and (h) is the height.

A room is shaped like a trapezoid which has the height of 28 feet and the length of sides as 23 ft and 35 ft. Thus, the area of it is,

A=\dfrac{(a+b)h}{2}\\A=\dfrac{(23+35)28}{2}\\A=812\rm\; ft^2

Carpet costs $8.30 per square foot. Thus, the cost of carpet with area 812 ft² is,

C=812×$8.30

C=$6739.6

Furniture covers 25% of the floor. Thus, the remaining square feet of carpet are covered by furniture is,

A=\dfrac{25}{100}\times812\\A=203\rm\; ft^2

Thus, the area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.

Learn more about the area of trapezoid here;

brainly.com/question/1410008

#SPJ1

You might be interested in
User lilyangelcserwinski does not know how to spell truly i fear
Vitek1552 [10]

Answer: ??????????????????????????????????/

Step-by-step explanation:

3 0
2 years ago
ASAP 30 + Brainliest <br><br> Please only solve 2 - 5
hichkok12 [17]

<u>QUESTION 2a</u>


We want to find the area of the given right angle triangle.


We use the formula

Area=\frac{1}{2}\times base\times height

The height of the triangle is =a cm.

The base is 12cm.


We substitute the given values to obtain,


Area=\frac{1}{2}\times 12\times a cm^2.

This simplifies to get an expression for the area to be

Area=6a cm^2.





<u>QUESTION 2b</u>


The given diagram is a rectangle.


The area of a rectangle is given by the formula

Area=length \times width


The length of the rectangle is l=7cm and the width of the rectangle is w=ycm.


We substitute the values to obtain the area to be


Area=7 \times y


The expression for the area is

Area=7y


<u>QUESTION 2c.</u>


The given diagram is a rectangle.


The area of a rectangle is given by the formula

Area=length \times width


The length of the rectangle is l=2x cm and the width of the rectangle is w=4 cm.


We substitute the values to obtain the area to be


Area=2x \times 4


The expression for the area is

Area=8x


<u>QUESTION 2d</u>


The given diagram is a square.

The area of a square is given by,

Area=l^2.


where l=b m is the length of one side.


The expression for the area is

Area=b^2 m^2


<u>QUESTION 2e</u>

The given diagram is an isosceles triangle.


The area of this triangle can be found using the formula,

Area=\frac{1}{2}\times base\times height.

The height of the triangle is 4cm.


The base of the triangle is 6a cm.


The expression for the area is

Area=\frac{1}{2}\times 6a \times 4cm^2


Area=12a cm^2


<u>QUESTION 3a</u>

Perimeter is the distance around the figure.

Let P be the perimeter, then

P=x+x+x+x

The expression for the perimeter is

P=4x mm


<u>QUESTION 3b</u>

The given figure is a rectangle.


Let P, be the perimeter of the given figure.

P=L+B+L+B


This simplifies to

P=2L+2B

Or

P=2(L+B)


<u>QUESTION 3c</u>

The given figure is a parallelogram.

Perimeter is the distance around the parallelogram

Perimeter=3q+P+3q+P

This simplifies to,


Perimeter=6q+2P

Or

Perimeter=2(3q+P)



<u>QUESTION 3d</u>

The given figure is a rhombus.

The perimeter is the distance around the whole figure.


Let P be the perimeter. Then

P=5b+5b+5b+5b


This simplifies to,

P=20b mm


<u>QUESTION 3e</u>

The given figure is an equilateral triangle.

The perimeter is the distance around this triangle.

Let P be the perimeter, then,

P=2x+2x+2x


We simplify to get,


P=6x mm


QUESTION 3f

The figure is an isosceles triangle so two sides are equal.


We add all the distance around the triangle to find the perimeter.


This implies that,


Perimeter=3m+5m+5m


Perimeter=13m mm



<u>QUESTION 3g</u>

The given figure is a scalene triangle.

The  perimeter is the distance around the given triangle.

Let P be the perimeter. Then

P=(3x+1)+(2x-1)+(4x+5)


This simplifies to give us,


P=3x+2x+4x+5-1+1


P=9x+5


<u>QUESTION 3h</u>

The given figure is a trapezium.

The perimeter is the distance around the whole trapezium.

Let P be the perimeter.

Then,

P=m+(n-1)+(2m-3)+(n+3)


We group like terms to get,

P=m+2m+n+n-3+3-1

We simplify to get,

P=3m+2n-1mm


QUESTION 3i

The figure is an isosceles triangle.

We add all the distance around the figure to obtain the perimeter.

Let P be the perimeter.


Then P=(2a-b)+(a+2b)+(a+2b)


We regroup the terms to get,

P=2a+a+a-b+2b+2b

This will simplify to give us the expression for the perimeter to be

P=4a+3bmm.


QUESTION 4a

The given figure is a square.


The area of a square is given by the formula;

Area=l^2

where l=2m is the length of one side of the square.


We substitute this value to obtain;

Area=(2m)^2


This simplifies to give the expression of the area to be,

Area=4m^2


QUESTION 4b

The given figure is a rectangle.


The formula for finding the area of a rectangle is

Area=l\times w.

where l=5a cm is the length of the rectangle and w=6cm is the width of the rectangle.

We substitute the values into the formula to get,

Area =5a \times 6


Area =30a cm^2


QUESTION 4c


The given figure is a rectangle.


The formula for finding the area of a rectangle is

Area=l\times w.

where l=7y cm is the length of the rectangle and w=2x cm is the width of the rectangle.

We substitute the values into the formula to get,

Area =7y \times 2x

The expression for the area is

Area =14xy cm^2


QUESTION 4d

The given figure is a rectangle.


The formula for finding the area of a rectangle is

Area=l\times w.

where l=3p cm is the length of the rectangle and w=p cm is the width of the rectangle.

We substitute the values into the formula to get,

Area =3p \times p

The expression for the area is

Area =3p^2 cm^2




See attachment for the continuation


6 0
3 years ago
Read 2 more answers
Which is equal to 7 X 8? O A. (6x8)+7 O B. (6x7) + 8 O C. (7x7)+7 D. ( 77) + 8​
astraxan [27]

Answer:

D. 77 + 8

Step-by-step explanation:

7 x 8 = 56

now try the other problems

A. 6 x 8 = 48

B. 6 x 7 = 42

C. 7 x 7 = 49

D. 77 + 8 = 56

D is the answer

6 0
3 years ago
3-(2x-5) +4<br><br> 4 +6(x+3)-(x-2)+7<br><br> -4x(x-2)+3-(6-2x)
Dvinal [7]

Answer:

1st solution is -2x+12

2nd solution is 5x+31

3rd one doesnt have a solution

Step-by-step explanation:

4 0
2 years ago
Holly earns $30 for babysitting 5 hours. She earns $28 when she does chores for 4 hours. Which compares the unit
zhenek [66]

Answer:

The unit rate for doing chores is $1 per hour more than the unit rate for babysitting

Step-by-step explanation:

30 / 5 = 6

28 / 4 = 7                             the person above me was right

8 0
2 years ago
Read 2 more answers
Other questions:
  • -5+7m-20=20-2m<br> Multi-step equations
    6·2 answers
  • Evaluate each expression for the given values of the variables: |a+x|/2-|a-x|/2if a=−2; x=−6
    5·2 answers
  • Order of operation for (-6) (4) (-2)
    9·2 answers
  • Line segment AB was dilated to create line segment A'B' using the dilation rule DQ,0.15.
    13·1 answer
  • 20 subtracted from the product of 2 and a number is 14.
    8·2 answers
  • Simplify the expression.<br> 4(-8x + 5) – (-33x – 26) = ______
    7·1 answer
  • A girl throws a paper airplane from her treehouse. The height of the plane is a function of time and can be modeled by the equat
    11·1 answer
  • Mike Mowed 5 Lawns last week and 7 lawns this week and earned $180. He earned the same amount mowing each lawn. How much did Mik
    11·1 answer
  • You go shopping at Target and buy a board game...yes a board game. It cost $21.65. There is a 9% sales tax. What is the total
    15·1 answer
  • What is the square route of 48. Pls explain
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!