Question
A kite is shown on the grid. What is the area of the kite? 10 square units 15 square units 20 square units
Ask by Chandler Nichols. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The area of the kite is 20 square units.
Solution
To determine the area of a kite on a grid, you can use the formula:
\[
\text{Area} = \frac{d_1 \times d_2}{2}
\]
where \( d_1 \) and \( d_2 \) are the lengths of the kite's diagonals.
**Steps to Calculate the Area:**
1. **Identify the Diagonals:**
- Look at the grid and determine the lengths of the two diagonals of the kite.
2. **Measure the Diagonals:**
- Count the number of square units each diagonal spans on the grid.
3. **Apply the Formula:**
- Multiply the lengths of the two diagonals.
- Divide the product by 2 to get the area.
**Example Calculation:**
Assume the diagonals of the kite measure 8 units and 5 units.
\[
\text{Area} = \frac{8 \times 5}{2} = \frac{40}{2} = 20 \text{ square units}
\]
**Conclusion:**
Given the multiple-choice options:
- 10 square units
- 15 square units
- 20 square units
The most plausible area of the kite is **20 square units**.
**Answer:** 20 square units
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To find the area of a kite, you can use the formula: Area = (d1 * d2) / 2, where d1 and d2 are the lengths of the diagonals. If you can measure or know the lengths of both diagonals on the grid, plug those numbers into the formula to find the area! Kites have been around for centuries and were originally used by the Chinese for military purposes, like sending messages or surveying land. They've since evolved into popular recreational and competitive activities all over the world, not to mention a fantastic way to enjoy a sunny day at the park!
