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ABCD is a rectangle In which AB = 45m and BC = 42 m and E, F, G and H are the mid point of the sides AB, BC, CD, and DA. Find the cost of lying tiles in the shaded part, if cost of lying tiles is 5 per m ^ 2?
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ABCD is a rectangle In which AB = 45m and BC = 42 m and E, F, G and H ...
Overview of the Rectangle
ABCD is a rectangle with the following dimensions:
- AB = 45 m
- BC = 42 m
The area of the rectangle can be calculated using the formula:
Area = Length x Width
Finding the Area of Rectangle ABCD
- Area = 45 m x 42 m
- Area = 1890 m²
Identifying the Midpoints
The midpoints E, F, G, and H divide the sides as follows:
- E (midpoint of AB)
- F (midpoint of BC)
- G (midpoint of CD)
- H (midpoint of DA)
Calculating the Area of the Inner Rectangle
The inner rectangle formed by connecting points E, F, G, and H has dimensions:
- Length (EF) = Half of AB = 45 m / 2 = 22.5 m
- Width (FG) = Half of BC = 42 m / 2 = 21 m
- Area of Inner Rectangle = 22.5 m x 21 m
- Area of Inner Rectangle = 472.5 m²
Calculating the Shaded Area
The shaded area is the remaining area of rectangle ABCD after subtracting the inner rectangle:
- Shaded Area = Area of ABCD - Area of Inner Rectangle
- Shaded Area = 1890 m² - 472.5 m²
- Shaded Area = 1417.5 m²
Calculating the Cost of Laying Tiles
The cost of laying tiles is given as 5 per m². Therefore, the total cost can be calculated as:
- Total Cost = Shaded Area x Cost per m²
- Total Cost = 1417.5 m² x 5
- Total Cost = 7087.5
Final Cost
The cost of laying tiles in the shaded part is 7087.5 currency units.
ABCD is a rectangle with the following dimensions:
- AB = 45 m
- BC = 42 m
The area of the rectangle can be calculated using the formula:
Area = Length x Width
Finding the Area of Rectangle ABCD
- Area = 45 m x 42 m
- Area = 1890 m²
Identifying the Midpoints
The midpoints E, F, G, and H divide the sides as follows:
- E (midpoint of AB)
- F (midpoint of BC)
- G (midpoint of CD)
- H (midpoint of DA)
Calculating the Area of the Inner Rectangle
The inner rectangle formed by connecting points E, F, G, and H has dimensions:
- Length (EF) = Half of AB = 45 m / 2 = 22.5 m
- Width (FG) = Half of BC = 42 m / 2 = 21 m
- Area of Inner Rectangle = 22.5 m x 21 m
- Area of Inner Rectangle = 472.5 m²
Calculating the Shaded Area
The shaded area is the remaining area of rectangle ABCD after subtracting the inner rectangle:
- Shaded Area = Area of ABCD - Area of Inner Rectangle
- Shaded Area = 1890 m² - 472.5 m²
- Shaded Area = 1417.5 m²
Calculating the Cost of Laying Tiles
The cost of laying tiles is given as 5 per m². Therefore, the total cost can be calculated as:
- Total Cost = Shaded Area x Cost per m²
- Total Cost = 1417.5 m² x 5
- Total Cost = 7087.5
Final Cost
The cost of laying tiles in the shaded part is 7087.5 currency units.
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ABCD is a rectangle In which AB = 45m and BC = 42 m and E, F, G and H are the mid point of the sides AB, BC, CD, and DA. Find the cost of lying tiles in the shaded part, if cost of lying tiles is 5 per m ^ 2?
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ABCD is a rectangle In which AB = 45m and BC = 42 m and E, F, G and H are the mid point of the sides AB, BC, CD, and DA. Find the cost of lying tiles in the shaded part, if cost of lying tiles is 5 per m ^ 2? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about ABCD is a rectangle In which AB = 45m and BC = 42 m and E, F, G and H are the mid point of the sides AB, BC, CD, and DA. Find the cost of lying tiles in the shaded part, if cost of lying tiles is 5 per m ^ 2? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ABCD is a rectangle In which AB = 45m and BC = 42 m and E, F, G and H are the mid point of the sides AB, BC, CD, and DA. Find the cost of lying tiles in the shaded part, if cost of lying tiles is 5 per m ^ 2?.
ABCD is a rectangle In which AB = 45m and BC = 42 m and E, F, G and H are the mid point of the sides AB, BC, CD, and DA. Find the cost of lying tiles in the shaded part, if cost of lying tiles is 5 per m ^ 2? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about ABCD is a rectangle In which AB = 45m and BC = 42 m and E, F, G and H are the mid point of the sides AB, BC, CD, and DA. Find the cost of lying tiles in the shaded part, if cost of lying tiles is 5 per m ^ 2? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ABCD is a rectangle In which AB = 45m and BC = 42 m and E, F, G and H are the mid point of the sides AB, BC, CD, and DA. Find the cost of lying tiles in the shaded part, if cost of lying tiles is 5 per m ^ 2?.
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ABCD is a rectangle In which AB = 45m and BC = 42 m and E, F, G and H are the mid point of the sides AB, BC, CD, and DA. Find the cost of lying tiles in the shaded part, if cost of lying tiles is 5 per m ^ 2?, a detailed solution for ABCD is a rectangle In which AB = 45m and BC = 42 m and E, F, G and H are the mid point of the sides AB, BC, CD, and DA. Find the cost of lying tiles in the shaded part, if cost of lying tiles is 5 per m ^ 2? has been provided alongside types of ABCD is a rectangle In which AB = 45m and BC = 42 m and E, F, G and H are the mid point of the sides AB, BC, CD, and DA. Find the cost of lying tiles in the shaded part, if cost of lying tiles is 5 per m ^ 2? theory, EduRev gives you an
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