A rectangle is 8cm long and 5cm wide if the perimeter is doubled when eaach of its side is increase by x cm . Form a equation in x and find a new lenght of the rectangle
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Perimeter of rectangle =2(l+b)
=2(8+5)cm=26cm
New length =(8+x)cm
New Breadth =(5+x)cm
Given 2(8+x+5+x)=26+2x
⇒2(13+2x)=52⇒13+2x=52/2=26
⇒2x=13⇒x=213=6.5cm
Therefore New Length =(8+6.5)cm =14.5cm
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