# 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.​

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

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## Related Questions

Exercise

1. If we multiply by three the numerator of a fraction and add 12 to the denominator, the value of the fraction is three quarters, and if the numerator increases in 7 and the denominator trebles the value of the fraction is a way, finds the fraction.

Please I am grateful for them to him very much thank you for the given attention...:)

x - nominator
y - denominator

The product of 5 and the difference of 7 times the square of x and 3

5 x (7x²-3)

5 (7x²-3)

Step-by-step explanation:

Product means the result of multiplication.

Difference means the result of subtraction

Times indicates multiplication

square of means raised to the power of 2

The product of 5 and the differenceof 7 times the square of x and 3

5 x (7x²- 3)

When you see "and" in between, this indicates the variables that are involved in the operation mentioned. Since it says the product of 5 and the difference of... This mean that 5 is multiplied to the quantity of the other operation used, which is the difference of 7 times the square of x  and 3.

Seven less than a number divided by three is five

let that number be x

A hiker started her hike at 0.2 mi below sea level. At the end of her hike, she was 1.4 mi above sea level.What vertical distance did she hike?

1.6 miles, because she started at -0.2, meaning you have to add another 0.2 to the total she hiked vertically. If she'd started 0.2 above sea level, you'd have to subtract 0.2 from 1.4.

7 times what equals 31

Lets say the number we are solving for is a

Divide 7 on both sides

7 times approximately 4.4 equals approximately 31 .

To find the number that, when multiplied by 7, equals 31, we need to solve the equation :

7 * x = 31

Here, x represents the unknown number we are trying to find .

To isolate x, we divide both sides of the equation by 7 :

( 7x ) / 7 = 31 / 7

Simplifying, we have :

x = 31 / 7

Calculating the division, we find :

x ≈ 4.4285714

x = 4.4

7 * 4.4 = 31

Therefore, 7 times approximately 4.4 equals approximately 31 .

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Math Help Please(1) What should be done to both sides of the equation in order to solve = -11.9?
A) multiply by -11.9
B) divide by -11.9
C) divide by 6
D) multiply by 6

(2) What is the solution to -9m = -45?
A) m = 5
B) m = -405
C) m = -5
D) m = 405

(3) Solve for u.
-14 = u ÷ 8
u =

(4) Solve for h.
-117 = -9h
h =

(5) Solve for q.
9/19 = 5
h =