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

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