the perimeter of a rectangle is 160cm. the length is 2cm longer than twice the width. find the length and width of the rectangle.

width of the rectangle=39 cm

length of the rectangle=41 cm

Step-by-step explanation:

Step 1: Determine the dimensions of the rectangle

let the width=w

length=w+2

Step 2: Determine the perimeter of the rectangle

P=2 (L+W)

where;

P=perimeter of the rectangle

L=length of the rectangle

W=width of the rectangle

In our case;

P=160 cm

L=w+2

W=w

replacing;

2 (w+w+2) = 160

2 (2 w+2) = 160

4 w+4=160

4 w=160-4=156

4 w=156

w=156/4=39

width=39 cm

length=39+2=41 cm