Louise measured the perimeter of her rectangular scrapbook to be 154 cm. If the scrapbook is 45 cm wide, how long is the scrapbook?

The length is 32 cm

Step-by-step explanation:

The scrapbook is rectangular so the perimeter is 2 (l+w)

P = 2 (l+w)

We know the perimeter is 154 and the width is 45

Substituting these values into the equation

154 = 2 (l+45)

Divide each side by 2

154/2 = 2/2 (l+45)

77 = l+45

Subtract 45 from each side

77-45 = l+45-45

32 = l

The length is 32 cm