Answer:
Length of Rectangle = 4 cm And
Width of Rectangle = 1.9 cm
Explanation:
Given as :
The perimeter of rectangle = 20.2 cm
The area of rectangle is 24.4 cm
Let the length be L
And width be w
Now Area of rectangle = Length × width
Or, 24.4 = L × W
And Perimeter = 2 (Length + Width ) = 2 (L + W )
Or, 20.2 = 2(L + W )
Or , L + W = 10.1 cm ............ 1
Now, (L - W )² = (L + W)² -4 LW
Or, (L - W )² = ( 10.1)² -4 (24.4)
I.e (L - W )² = 4.41
Or , L - W = 2.1 cm .............. 2
SO , From 1 and 2
( L + W) + (L - W) = 10.1 cm - 2.1 cm
Or, 2L = 8
∴ Length = 4 cm
Again , Width = 4 cm - 2.1 cm = 1.9 cm
Hence Length of Rectangle = 4 cm And
Width of Rectangle = 1.9 cm Answer