# The perimeter of a rectangle is 20.2 CM and it's area is 24.4 cm squared what is its length and width

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Answer:Length of Rectangle = 4 cm AndWidth of Rectangle = 1.9 cm Step-by-step explanation:Given as :The perimeter of rectangle = 20.2 cmThe area of rectangle is 24.4 cmLet the length be L And width be wNow Area of rectangle = Length × width Or, 24.4 = L × WAnd Perimeter = 2 (Length + Width ) = 2 (L + W )Or, 20.2 = 2(L + W )Or , L + W = 10.1 cm ............ 1Now, (L - W )² = (L + W)² -4 LWOr, (L - W )² = ( 10.1)² -4 (24.4)I.e (L - W )² = 4.41Or , L - W = 2.1 cm .............. 2SO , From 1 and 2( L + W) + (L - W) = 10.1 cm - 2.1 cm Or, 2L = 8 ∴ Length = 4 cmAgain , Width = 4 cm - 2.1 cm = 1.9 cmHence Length of Rectangle = 4 cm And Width of Rectangle = 1.9 cm Answer