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The length of a rectangular park is 8 m more thanits breadth. If area of the park is 240 m2, therfind the length and breadth of the park. |
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Answer» l = b + 8A = 240l × b = 240(b + 8) × b = 240 b^2 + 8b - 240 = 0(b - 12)(b + 20) = 0b = 12, b = -20Since length cannot be negative, b = 12 is the solution. l = 20 mb = 12m let breath = xlength= x+8area= 240x(x+8)=240x^2+8x-240=0x^2+20x-12x-240=0x(x+20)-12(x+20)=0(x+20)(x-12)=0either x+20=0, x= -20 (impossible because length never be in -ve)so x-12=0x= 12so breath = 12mlength= x+8= 12+8=20 m length of park=20m , and breadth of park= 12m please like e my answer |
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