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one side of a rectangle is 10cm longer than the other. If the area of the rectangle is 375cm², show this information as a quadratic equation and hence find the length of each side |
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Answer» Answer: A be the area of rectangle , L be the length of rectangle and W be the breath of rectangle ,then given : L=w+10 CM A=s6 cm2 , required :W=? by USING the following formula , we will get W A=LW 56=(W+10) w 56=w2+10w w2+10w–56 =0 then, solve the quadratic by any method that is for you either by completing SQUARE , by factorization or by formula now I am using by factorization w2+10w–56 =0 w2+14w-4w-56 =0 w(w+14)-4(w+14)=0 (w+14)(w-4)=0 w+14 =0 or w-4=0 w=-14 , w=4 therefore , we omit the NEGATIVE 14 because the breath is length and length is a basic physical quantity and can not be a negative the answer : the breath of rectangle is 4 cm checking l=w+10= 4+10=14 cm, w=4 cm A=lw =14 x4=56 cm2 |
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