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Let x be the length of the rectangle Width=(2/3)x Perimeter of rectangle =135 2(l+b)=135 2(x+(2/3)x)=135 2((3x+2x)/3)=135 2(5x/3)=135 10x/3=135 10x=135*3 x=405/10=40.5 Width=2/3*40.5=27 Lenght=40.5

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So the length be x so width = 2/3 x

so perimeter = 2(length + width) 135 = 2(x+2/3x) 5/3x × 2 = 135 x = (135 x 3) / (5 × 2) x = 40.5 cm

so length = 40.5 cm and width = 2/3 x 40.5 = 27 cm