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A verandah of width 2.25 m is constructed all along outside a room which is 5.5 my long and 4m wide find(i) the area of verandah (ii) the cost of cementing the floor of the verandah at the rate of rupee 200 per m square ?
Most Upvoted Answer
A verandah of width 2.25 m is constructed all along outside a room whi...
Let ABCD is a Room of length 5.5 m & width 4 m.
And PQRS is outline of verandah of width = 2.25 m.
Area of the rectangular room ABCD = leghth * width
= (5.5 * 4) m^2
= 22.0 m^2
Area of the rectangle PQRS = leghth * width
=[ {5.5 + (2*2.25)} * {4 + (2*2.25)} ] m^2
= {( 5.5 + 4.5) * (4 + 4.5)} m^2
= {( 10.0 ) * ( 8.5 )} m^2
= 85.0 m^2
(i) Area of the verandah = Area of PQRS - Area of ABCD
= (85 - 22) m^2
= 63 m^2
(ii) Cost of cementing the verandah /m^2 = ₹ 200
Cost of cementing the verandah 63 m^2 = 63*200
= ₹ 12,600
And PQRS is outline of verandah of width = 2.25 m.
Area of the rectangular room ABCD = leghth * width
= (5.5 * 4) m^2
= 22.0 m^2
Area of the rectangle PQRS = leghth * width
=[ {5.5 + (2*2.25)} * {4 + (2*2.25)} ] m^2
= {( 5.5 + 4.5) * (4 + 4.5)} m^2
= {( 10.0 ) * ( 8.5 )} m^2
= 85.0 m^2
(i) Area of the verandah = Area of PQRS - Area of ABCD
= (85 - 22) m^2
= 63 m^2
(ii) Cost of cementing the verandah /m^2 = ₹ 200
Cost of cementing the verandah 63 m^2 = 63*200
= ₹ 12,600
Community Answer
A verandah of width 2.25 m is constructed all along outside a room whi...
Area of Verandah:
- Length of the room = 5.5 m
- Width of the room = 4 m
- Width of the verandah = 2.25 m
To find the area of the verandah, we need to calculate the area of the larger rectangle formed by adding the verandah to the room and subtracting the area of the room itself.
Area of the larger rectangle = (5.5 + 2 * 2.25) * (4 + 2 * 2.25) = 11 * 8.5 = 93.5 sq.m
Area of the room = 5.5 * 4 = 22 sq.m
Area of the verandah = Area of the larger rectangle - Area of the room = 93.5 - 22 = 71.5 sq.m
Therefore, the area of the verandah is 71.5 sq.m.
Cost of Cementing:
- Rate of cementing = Rs. 200 per sq.m
To find the cost of cementing the floor of the verandah, we multiply the area of the verandah by the rate of cementing per sq.m.
Cost of cementing the verandah = Area of verandah * Rate of cementing = 71.5 * 200 = Rs. 14,300
Therefore, the cost of cementing the floor of the verandah at the rate of Rs. 200 per sq.m would be Rs. 14,300.
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A verandah of width 2.25 m is constructed all along outside a room which is 5.5 my long and 4m wide find(i) the area of verandah (ii) the cost of cementing the floor of the verandah at the rate of rupee 200 per m square ?
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A verandah of width 2.25 m is constructed all along outside a room which is 5.5 my long and 4m wide find(i) the area of verandah (ii) the cost of cementing the floor of the verandah at the rate of rupee 200 per m square ? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A verandah of width 2.25 m is constructed all along outside a room which is 5.5 my long and 4m wide find(i) the area of verandah (ii) the cost of cementing the floor of the verandah at the rate of rupee 200 per m square ? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A verandah of width 2.25 m is constructed all along outside a room which is 5.5 my long and 4m wide find(i) the area of verandah (ii) the cost of cementing the floor of the verandah at the rate of rupee 200 per m square ?.
A verandah of width 2.25 m is constructed all along outside a room which is 5.5 my long and 4m wide find(i) the area of verandah (ii) the cost of cementing the floor of the verandah at the rate of rupee 200 per m square ? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A verandah of width 2.25 m is constructed all along outside a room which is 5.5 my long and 4m wide find(i) the area of verandah (ii) the cost of cementing the floor of the verandah at the rate of rupee 200 per m square ? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A verandah of width 2.25 m is constructed all along outside a room which is 5.5 my long and 4m wide find(i) the area of verandah (ii) the cost of cementing the floor of the verandah at the rate of rupee 200 per m square ?.
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