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1) Determine the dimensions in the given figure that will givetotal area of 27m .Explain Your answer2x+3 |
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Answer» length×breath= area of rectanglex(2x+3)=272x^2+3x-27=02x^2+9x-6x-27=0x(2x+9)-3(2x+9)=0(2x+9)(x-3)=0either 2x+9=0, x= -9/2 (neglected because length not be in -ve)so x-3=0, x=3length= 2x+3= 2×3+3=9mbreath= 3m Area of rectangle = 27 m^2. l × b = 27 m^2(2x + 3) × x = 27 m^22x^2 +3x - 27 = 02x^2 - 6x + 9x -27 = 02x(x - 3) + 9(x - 3) = 0(x - 3) (2x + 9) = 0x = 3 and x = -9/2Now, l = 2 × 3 + 3 = 9 m b = x = 3 m |
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