Final answer:
The perimeter of the composite figure with four equal sides of 4 yards each and one side of 6 yards is calculated by converting yards to feet and adding the lengths together, resulting in a total perimeter of 66 feet.
Step-by-step explanation:
The question is asking for the perimeter of a composite figure. To find the perimeter, you add up the lengths of all the sides. In this case, the figure has equal sides of 4 yards each and a singular side of 6 yards. Since there are 3 feet in 1 yard, converting the side measurements to feet will give us a clearer understanding. Multiplying 4 yards by 3 gives us 12 feet for each of the equal sides, and multiplying 6 yards by 3 gives us 18 feet for the longer side.
Adding these lengths together:
- 12 feet (first 4-yard side) +
- 12 feet (second 4-yard side) +
- 12 feet (third 4-yard side) +
- 12 feet (fourth 4-yard side) +
- 18 feet (6-yard side)
When we sum these up, we get:
12 ft + 12 ft + 12 ft + 12 ft + 18 ft = 66 ft
Therefore, the perimeter of the composite figure is 66 feet.