the following figure shows the floor dismensions of an L shaped room. all angles are right angles.if carpeting costs tk. 20 per square meters, what will be the cost in tk. carpeting for entire floor of the room.
To calculate the cost of carpeting the entire floor of the room, we need to find the area of the L-shaped room.
Let's break down the room into two rectangular sections and add their areas together.
Section 1:
Length = 7 meters
Width = 4 meters
Area of Section 1 = Length x Width = 7m x 4m = 28 square meters
Section 2:
Length = 9 meters
Width = 5 meters
Area of Section 2 = Length x Width = 9m x 5m = 45 square meters
Total Area of the L-shaped room = Area of Section 1 + Area of Section 2
= 28 square meters + 45 square meters
= 73 square meters
The total cost of carpeting the entire floor of the room would be:
Total Area x Carpeting Cost per square meter
= 73 square meters x Tk. 20/square meter
= Tk. 1460
To calculate the cost of carpeting for the entire floor of the L-shaped room, we need to find the total area of the floor and then multiply it by the cost of the carpet per square meter.
Let's break down the calculation step by step:
1. Identify the dimensions of each section of the L-shaped room.
- Measure the length and width of each rectangular section separately.
2. Calculate the area of each rectangular section.
- The area of a rectangle can be found by multiplying its length by its width.
- Let's label the rectangular sections as A and B.
3. Add the areas of both rectangular sections to get the total floor area.
- Total Area = Area of section A + Area of section B.
4. Multiply the total floor area by the cost of the carpet per square meter.
- Carpeting Cost = Total Area * Cost per square meter.
By following these steps and plugging in the relevant measurements and cost per square meter value, you can easily find the cost of carpeting for the entire floor of the L-shaped room.
In order to calculate the cost of carpeting the entire floor of the room, we need to find the total area of the floor.
To determine the area of the L-shaped room, we will divide it into two rectangular shapes: a smaller rectangle and a larger rectangle.
Let's denote:
Length of the smaller rectangle: L1
Width of the smaller rectangle: W1
Length of the larger rectangle: L2
Width of the larger rectangle: W2
Based on the given information, we have the following dimensions:
L1 = 4 meters
W1 = 3 meters
L2 = 6 meters
W2 = 5 meters
To calculate the area of the smaller rectangle:
Area of smaller rectangle = L1 * W1
Substituting the given values:
Area of smaller rectangle = 4 meters * 3 meters = 12 square meters
To calculate the area of the larger rectangle:
Area of larger rectangle = L2 * W2
Substituting the given values:
Area of larger rectangle = 6 meters * 5 meters = 30 square meters
Now, we can find the total area of the floor by adding the areas of the smaller and larger rectangles:
Total area = Area of smaller rectangle + Area of larger rectangle
Substituting the calculated values:
Total area = 12 square meters + 30 square meters = 42 square meters
Now, to find the cost of carpeting the entire floor, we will multiply the total area by the cost per square meter:
Cost of carpeting = Total area * Cost per square meter
Substituting the given cost per square meter:
Cost of carpeting = 42 square meters * Tk. 20/square meter
Calculating the final result:
Cost of carpeting = Tk. 840
Therefore, the cost of carpeting the entire floor of the room will be Tk. 840.