a room 5m long,4.5 m wide,3.6m high has one door 1.5 m by 2.4m and two windows each 1m by 0.75m. Find (1) area of its walls excluding doors and windows (2) cost of distempering its walls at rupees 4.50 per metre square (3)cost of painting roof at rupees 9 per metre square
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dimensions of room =5x4.5x3.6 m
dimensions of door =1.5×2.4. m
dimensions of window = 1×0.75
(1). area of wall excluding door and 2 windows = C.s.a of room - area of door - 2×area of window
2(l+b)h - l×b - 2×area of window
=2(5+4.5)3.6 - 1.5×2.4 -2 ×1×0.75
=2×9.5×3.6 - 3.6 - 1.5
=19×3.6 - 3.6 - 1.5
=18×3.6 -1.5
=64.8 -1.5
=63.3 m^2
(2) cost of distempering the wall = area of wall × rate
= 63.3 × 4.5
= Rs 284.85
(3) area of roof of wall = l×b = 5×4.5 = 22.5 m^2
cost of painting roof = area × rate
=22.5 ×9
=Rs 202.50
dimensions of door =1.5×2.4. m
dimensions of window = 1×0.75
(1). area of wall excluding door and 2 windows = C.s.a of room - area of door - 2×area of window
2(l+b)h - l×b - 2×area of window
=2(5+4.5)3.6 - 1.5×2.4 -2 ×1×0.75
=2×9.5×3.6 - 3.6 - 1.5
=19×3.6 - 3.6 - 1.5
=18×3.6 -1.5
=64.8 -1.5
=63.3 m^2
(2) cost of distempering the wall = area of wall × rate
= 63.3 × 4.5
= Rs 284.85
(3) area of roof of wall = l×b = 5×4.5 = 22.5 m^2
cost of painting roof = area × rate
=22.5 ×9
=Rs 202.50
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Answer:
63.3 sqm,Rs 284.85,Rs 202.50
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