the floor of a rectangular Hall has perimeter 300cm. let the cost of painting of four walls at the rate of reaction. 12per cm2 is rupees 24000 then find the hight of the wall.
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Answer :
Height of the wall is 6.67 cm
Solution :
Let, length = l cm
width = w cm
height = h cm
Perimeter of the floor = 300 cm (given)
⇒ 2 (length + widhth) = 300
⇒ 2 (l + w) = 300
⇒ l + w = 150 .....(i)
Area of the four walls
= 2 * height * (length + width)
= 2h (l + w)
= 2h * 150 cm²
= 300h cm²
Cost of painting four walls = Rs 24000 (given)
⇒ 300h × 12 = 24000
⇒ 3600h = 24000
⇒ h ≈ 6.67
∴ the height of the wall is 6.67 cm
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