A composite wall consists of a rectangle 12 m by 9 m with a triangular window of base 4 m and height 3 m cut out.
A composite wall consists of a rectangle 12 m by 9 m with a triangular window of base 4 m and height 3 m cut out. If the wall needs to be painted at 120 per m², find the painting cost after deducting the window area.
एक मिश्रित दीवार 12 मीटर $\times 9$ मीटर के एक आयत से बनी है जिसमें 4 मीटर आधार और 3 मीटर ऊंचाई वाली एक त्रिकोणीय खिड़की काटी गई है। यदि दीवार को ₹120 प्रति वर्ग मीटर की दर से रंगना है, तो खिड़की के क्षेत्रफल को घटाने के बाद रंगाई की लागत ज्ञात कीजिए।
Detailed Solution & Logic
₹12,240
Solution:
Area of the rectangular wall
$= 12 \times 9 = 108 \text{ m}^2$
Area of the triangular window
$= \frac{1}{2} \times 4 \times 3 = 6 \text{ m}^2$
Area to be painted
$= 108 - 6 = 102 \text{ m}^2$
Painting cost
$= 102 \times 120 = 12,240$
Answer: (C) ₹12,240
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