Final answer:
The perimeter of a deck measuring 800 cm by 2891 cm with an additional 66 cm is 7448 cm. This is calculated by using the formula for the perimeter of a rectangle, which is 2 times the length plus 2 times the width, plus the additional length.
Step-by-step explanation:
The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, the deck measures 800 centimeters by 2891 centimeters. To find the perimeter, we need to add these dimensions together twice, once for the length and once for the width, because a rectangle has two lengths and two widths. So, the formula for the perimeter (P) is:
P = 2l + 2w
Where 'l' is the length and 'w' is the width. Substituting the given dimensions:
P = 2(800 cm) + 2(2891 cm)
P = 1600 cm + 5782 cm
P = 7382 cm
However, there is an addition of 66 cm that needs to be included in the perimeter, so we add that as well:
P = 7382 cm + 66 cm
P = 7448 cm
Therefore, the total perimeter of the deck with the additional length is 7448 cm.