Question

The perimeter of a certain rectangle is 16 times the width. The length is 12cm more than the width. Find the length of the rectangle. Show work.

Answer 1

Explanation:

width = w

length = 12 + w

Perimeter of rectangle = 2*length + 2*width since perimeter measures the distance around an object.

The perimeter of a certain rectangle is 16 times the width means 2 * (12 + w) + 2 *w = 16w

24 + 2w + 2w = 16w

24 + 4w = 16w subtract 4w from both sides

24 = 12 w divide both sides by 12

2 = w

width = 2 cm

length = 12 + 2 = 14 cm