length of a room is 3 times its breadth and height is 4.6 m.if the total cost of carpeting the floor of a room at the rate of Rs. 60 per square meter is Rs. 4500,Find the total cost of papering the 4 walls at the rate of Rs. 6.​

Answers

Answer 1
Answer:

The total cost of papering the 4 walls is Rs. 1104

Step-by-step explanation:

The given is:

  • The length of a room is 3 times its breadth
  • Its height is 4.6 m
  • The total cost of carpeting the floor of a room at the rate of Rs. 60 per square meter is Rs. 4500

We need to find the total cost of papering the 4 walls at the rate of Rs. 6

Assume that the breadth of the room is x m

∵ The length of the room is 3 times its breadth

∵ The breadth of the room is x m

∴ The length of the room is 3 x m

∵ The floor of the room is shaped a rectangle

- Area of the rectangle = length × breadth

∴ The area of the floor = (3 x) × (x) = 3 x²

∵ The rate of the carpeting is Rs. 60 per square meter

- Multiply the area of the floor by 60 to find the total cost of carpeting

∴ The total cost of carpeting = 3 x²(60) = 180 x²

∵ The total cost of carpeting the floor is Rs. 4500

- Equate the two sides of total cost to find x

180 x² = 4500

- Divide both sides by 180

∴ x² = 25

- Take √ for both sides

x = 5

∴ The breadth of the room = 5 m

∵ The length of the room is 3 x

∴ The length of the room = 3(5) = 15 m

The four walls of the room has dimensions length × height , breadth × height , length × height , breadth × height ⇒ (each two opposite walls have same dimensions)

∵ The length = 15 m , breadth = 5 m , height = 4.6 m

∴ The area of the four walls = 2(15 × 4.6) + 2(5 × 4.6)

∴ The area of the four walls = 138 + 46

∴ The area of the four walls = 184 m²

∵ The rate per meter square of papering is Rs. 6

- Multiply the area of the four walls by 6 to find the total cost

  of papering

∴ The total cost of papering = 184 × 6

∴ The total cost of papering = Rs. 1104

The total cost of papering the 4 walls is Rs. 1104

Learn more:

You can learn more about the word problem in brainly.com/question/10557938

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Answers

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Nina's garden is 4 1/5 meters long and 3/10 meter wide. what is the area of nina's garden

Answers

Area of rectangular garden = 21/5*3/10 = 63/50 =1 * \n 13/50 m^(2) = 1.26 m^(2)

Consider Nina' s Garden is rectangular in shape

Length of the garden = 4 * 1/5 = 21/5

Width of the garden = 3/10

Area of the rectangle is given by

Area = Length * Width

So the area of the garden is given by

Area= 21/5*3/10 = 63/50 =1 * \n 13/50 m^(2) = 1.26 m^(2)

For more information please refer to the link

brainly.com/question/24408520

Area= length * width

length = 4 1/5= 21/5 . Multiply the whole number with the denominator. 4*5= 20 . Add 20 with the numerator. 20+1=22

width= 3/10

21/5* 3/10 ( Multiply the denominators together). ( Multiply the numerators together).

21*3 / 5*10

= 63/50 meters^2 or in mixed number:1 13/50 meters^2

Answer : 63/50 meters^2 or in mixed number:1 13/50 meters^2

Jason baked 7 pans of brownies. He gave 1/4 of the brownies to his two sisters. How many pans of brownies did he give to his sister's?​

Answers

like two of them

hope this helps

Is the following statement tre? 8÷5=8/5. why or why not? _________

Answers

No it not true 8÷5=0.625

Then you know that 
4 + 5/8 = 4 + .625 

They are equal. 

Simple arithmetic tells you that that 4+ .625 = 4.625 

Which in itself is equal to 4 and 5/8

Two box plots have the same median and equally long whiskers.If one box plot has a longer box than the other box plot, what does this tell you about the difference between the data sets?

Answers

The first line as you know is the lowest value
The second line (start of box) is the lower quartile
The Middle line is the median
The fourth line (End of box) is the upper quartile 
The last line is the highest value
A box plot with a longer box shows that interquartile range is likely to be larger suggesting more of a spread in data.

Answer:

A   hope this helps!

Step-by-step explanation:

  • The box range is 22 to 29

  • The dividing line of the box is at 24 is the median

  • For minivans

  • The range given as Minimum = 14 and Maximum = 26

  • The range of the whiskers is 14 to 26

  • The box range is 18 to 21

  • The dividing line of the box is at 19 is the median

  • Therefore, the range of the box plot for cars is the difference of the values at the ends of the whiskers, that is 33 - 21 = 8

  • The range for minivan = 26 - 12 = 14

  • Therefore, Josef's error is that, Josef confused the range and the interquartile range.

Here are the vertices of rectangle FROG: (-2,5),(-2,1),(6,5),(6,1). Find the perimeter of this rectangle. If you get stuck, try plotting the points on a coordinate plane. For the rectangle FROG, the perimeter is . Find the area of the rectangle FROG. For the rectangle FROG, the area is

Answers

The area and the perimeter of the rectangle FROG is evaluated as:

  • Area(FROG) = 32 \: \rm unit^2
  • Perimeter(FROG) = 64\: \rm units

How to find the area and the perimeter of a rectangle?

For a rectangle with length and width L and W units, we get:

  • Area of the rectangle = L * W \: \rm unit^2
  • Perimeter of the rectangle = 2(L + W) \: \rm unit^2

What is the distance between two points ( p,q) and (x,y)?

The shortest distance(straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D = √((x-p)^2 + (y-q)^2) \: \rm units.

The coordinates of the points of the rectangle FROG are given as:

F(-2,5), R(-2,1), G(6,5), and O(6,1) (from its plot, as given below)

FR and RO are length and width pair(we can call any one of them as length and other as width) of the considered rectangle as they are adjacent to each other.

We denote length of a line segment AB by |AB|

Thus, we get:

  • Length of the rectangle = |FR| = √((-2-(-2))^2 + (1 - 5)^2 ) = 4 units
  • Width of the rectangle = |RO| = √((6-(-2))^2 + (1 - 1)^2 ) = √(64) = 8 \: \rm units

Now with the help of length and width, we can evaluate its perimeter and area, as shown below:

  • Area(FROG) = L* W = 4 * 8= 32 \: \rm unit^2
  • Perimeter(FROG) = 2(L + W) = 2(4 + 8) = 64\: \rm units

Learn more about distance between two points here:

brainly.com/question/16410393

Answer:

Part 1) The perimeter of rectangle is equal to 24 units

Part 2) The area of rectangle is equal to 32 square units

Step-by-step explanation:

Part 1) Find the perimeter of rectangle

we know that

The perimeter of rectangle is equal to

P=2(L+W)

where

L is the length of rectangle

W is the width of rectangle

we have

F(-2,5),R(-2,1),O(6,1),G(6,5)

Plot the figure to better understand the problem

using a graphing tool

see the attached figure

Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees

so

FG=RO=L\nRF=OG=W

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}

step 1

Find the distance FG

F(-2,5),G(6,5)

substitute the values

d=\sqrt{(5-5)^(2)+(6+2)^(2)}

d=\sqrt{(0)^(2)+(8)^(2)}

FG=8\ units

step 2

Find the distance RF

R(-2,1),F(-2,5)

substitute the values

d=\sqrt{(5-1)^(2)+(-2+2)^(2)}

d=\sqrt{(4)^(2)+(0)^(2)}

RF=4\ units

step 3

Find the perimeter

P=2(L+W)

we have

FG=RO=L=8\ units\nRF=OG=W=4\ units

substitute

P=2(8+4)=24\ units

Part 2) Find the area of rectangle FROG

we know that

The area of rectangle is equal to

A=LW

we have

FG=RO=L=8\ units\nRF=OG=W=4\ units

substitute

A=(8)(4)=32\ units^2