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The length of the rectangle is x cm,and its area is (x^3-x) cm^2.What is the measure of the width? |
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Answer» 15,20Step-by-step explanation:PERIMETER of the rectangle=70cmLength of the rectangle=xcmWe know,Perimeter of the rectangle=2(length+breadth)=>70=2(x+breadth)=> 270 =x+breadth=>x+breadth=35=>breadth=35−xGiven,area of rectangular board=30cm 2 =>length+breadth=300=>x(35−x)=300=>−x 2 +35x−300=0=>x 2 −35x+300=0=>x 2 −20x−15x+300=0=>x(x−20)−15(x−20)=0=>(x−20)(x−15)=0∴x−20=0 or x−15=0=>x=20 or x=15∴35−x=35−20 or ∴35−x=35−15 =15 or =20∴Dimensions are 15 and 20cmpls mark me as brainliest |
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