Answer:
98yd²
Explanation:
Alright, for this you'll need the Pythagorean theorem.
![{a}^(2) + {b}^(2) = {c}^(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/il5a4jrt1jwxo5rpn9alp2ul048dzui1mh.png)
Imagine a right triangle, having twice the given length as the hypotenuse. The legs would be the sides of the square, and therefore be equal.
You can assume it is a square because you're only given half of one diagonal.
Knowing this:
![{a}^(2) + {a}^(2) = {14}^(2) \\ 2 {a}^(2) = 196 \\ {a}^(2) = 98](https://img.qammunity.org/2021/formulas/mathematics/middle-school/sak5fktmigk7hz9r65k7ku057p6larzunz.png)
Therefore, the area is 98 square yards.