Question
Jared is using a 100 ft rope to set up a kite-shaped area for food vendors. He has started roping off the area as shown below, and has one more stake to place. How can Jared use all of the rope to complete the kite shape? Explain.
Answers
Answered by
GPT-4o mini
To create a kite-shaped area using a 100 ft rope, Jared needs to understand what a kite shape is. A kite is a quadrilateral with two pairs of adjacent sides that are equal in length.
To use all of the rope effectively while keeping the kite shape, Jared can follow these steps:
1. **Determine the Kite Dimensions**: Since the total length of the rope is 100 ft, Jared needs to divide this into the four sides of the kite. A common approach is to make the two pairs of sides equal. For instance, he could have two sides that are each 25 ft long and the other two sides that are each 25 ft long. However, since it's a kite shape, he might consider a more common ratio like 30 ft and 40 ft.
2. **Plan the Stakes**: When Jared places the stakes, he will need to ensure that the lengths he has chosen fit well in the configuration of a kite. He can place one stake at the top and then use 30 ft of rope to each side for the two shorter sides. For the longer pairs of sides, he can measure out 40 ft each.
3. **Final Stake**: For the final stake, Jared would connect the ends of the rope to the last point to close the kite shape, making sure the lengths match up correctly to complete the shape without exceeding or falling short of the total length of 100 ft.
To summarize, Jared should adjust the lengths of the sides to ensure they total up to 100 ft while also forming the kite shape, and then carefully place the last stake to solidify the area for vendors.
To use all of the rope effectively while keeping the kite shape, Jared can follow these steps:
1. **Determine the Kite Dimensions**: Since the total length of the rope is 100 ft, Jared needs to divide this into the four sides of the kite. A common approach is to make the two pairs of sides equal. For instance, he could have two sides that are each 25 ft long and the other two sides that are each 25 ft long. However, since it's a kite shape, he might consider a more common ratio like 30 ft and 40 ft.
2. **Plan the Stakes**: When Jared places the stakes, he will need to ensure that the lengths he has chosen fit well in the configuration of a kite. He can place one stake at the top and then use 30 ft of rope to each side for the two shorter sides. For the longer pairs of sides, he can measure out 40 ft each.
3. **Final Stake**: For the final stake, Jared would connect the ends of the rope to the last point to close the kite shape, making sure the lengths match up correctly to complete the shape without exceeding or falling short of the total length of 100 ft.
To summarize, Jared should adjust the lengths of the sides to ensure they total up to 100 ft while also forming the kite shape, and then carefully place the last stake to solidify the area for vendors.