Question

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

Answer 1

Answer:

Length of Rectangle = 4 cm    And

Width of Rectangle = 1.9 cm      

Step-by-step 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