Question

QUESTION:-↓

The dimensions of a room are 12.5 m by 9 m by 7 m. there are 2 doors and 4 windows in the room; each door measures 2.5 m by 1.2 m and each window 1.5 m by 1 m. Find the cost of painting the walls at Rs. 3.50 per square meter.

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Answer 1

Given dimensions of the room:

Length:
`\displaystyle\sf 12.5 \,m`

Width:
`\displaystyle\sf 9 \,m`

Height:
`\displaystyle\sf 7 \,m`

Area of each wall:

`\displaystyle\sf Area_1 = 12.5 * 7 = 87.5 \,m^2`

`\displaystyle\sf Area_2 = 12.5 * 7 = 87.5 \,m^2`

`\displaystyle\sf Area_3 = 9 * 7 = 63 \,m^2`

`\displaystyle\sf Area_4 = 9 * 7 = 63 \,m^2`

Area of each door:

`\displaystyle\sf Area_{\text{door}} = 2.5 * 1.2 = 3 \,m^2`

Area of each window:

`\displaystyle\sf Area_{\text{window}} = 1.5 * 1 = 1.5 \,m^2`

Total area occupied by doors:

`\displaystyle\sf Total_{\text{doors}} = 2 * Area_{\text{door}} = 2 * 3 = 6 \,m^2`

Total area occupied by windows:

`\displaystyle\sf Total_{\text{windows}} = 4 * Area_{\text{window}} = 4 * 1.5 = 6 \,m^2`

Total wall area excluding doors and windows:

`\displaystyle\sf Total_{\text{wall\,area}} = (Area_1 + Area_2 + Area_3 + Area_4) - Total_{\text{doors}} - Total_{\text{windows}}`

`\displaystyle\sf = (87.5 + 87.5 + 63 + 63) - 6 - 6`

`\displaystyle\sf = 275 - 6 - 6`

`\displaystyle\sf = 263 \,m^2`

Cost of painting the walls:

`\displaystyle\sf Cost_{\text{painting}} = Total_{\text{wall\,area}} * 3.50`

`\displaystyle\sf = 263 * 3.50`

`\displaystyle\sf = 920.50 \,Rs`

Therefore, the cost of painting the walls of the room at Rs. 3.50 per square meter is Rs. 920.50.

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