The length of a rectangle is 5 cm more than twice it's width, the perimeter of the rectangle is 34cm, find the length and width of the rectangle

The formula for the perimeter of rectangle is 2 times the length plus 2 times the width

2L x 2W

Since the perimeter is 34, 2L x 2W = 34

Also, since the length is 5 more than, or 5 added to the width (5 + W), Length = 5 + Width

If you put it in

2 (5+W) + 2W=34

10 + 2W + 2W=34

10 + 4W = 34

4W = 34 (-10)

4W = 24

W = 24/4

W=6

L=W+5

L=5+6

L=11

W = 6, L=11

2W + 2L = 34

2W + 2 (2W+5)

2W + 4W + 10 = 34

Add the Ws:

6W + 10 = 34

Subtract 10 from each side:

6W = 24

W = 4