The length of a rectangle is 4cm langer than the width. the perimeter is 80cm. what is the length and the width?

Let us assume the width of the rectangle = x cm

Then

The length of the rectangle = (x + 4) cm

It is already given that

Perimeter of the rectangle = 80 cm

Now we also know the formula for perimeter of a rectangle

Perimeter = 2 (length + width)

80 = 2 (x + 4 + x)

80 = 2 (2x + 4)

80/2 = 2x + 4

40 = 2x + 4

Dividing both sides by 2 we get

20 = x + 2

20 - 2 = x

x = 18

Then

Width of the rectangle = 18 cm

Length of the rectangle = (18 + 4) cm

= 22 cm

So the rectangle has a length of 22 cm and a width of 18 cm.