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11. If the area of four walls is 256sq.units and the ratio of its perimeter to its height is1) Perimeter 8 units3) Length-6 units2) Height of the room32 units4) Width 4 units |
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Answer» Let height =xGiven area=256 cm squareA.t.q.Length=5(height)L=5xBreadth=3(height)B=3x Curved surface area of cuboid= 2(l+b)hGiven area=256 cm square2(5x+3x)×x=2562(8x)×x=256 16x^2=25616x^2-256=0Taking 8 common8(2x^2-32)=02x^2-32=0By factorization2x^2+0x-32=02x^2+8x-8x-32=0Taking common2x(x+4)-8(x+4)=0(x+4)(2x-8)=0x+4=0,,,,,2x-8=0x=-4,,,,,x=4Sides can't be -ve so x=4Height=4cmLength =5xLength=5×4=20Breadth=3xBreadth=3×4=12L=20B=12H=4 |
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