Respuesta :

Answer:

98yd²

Step-by-step explanation:

Alright, for this you'll need the Pythagorean theorem.

[tex]{a}^{2} + {b}^{2} = {c}^{2} [/tex]

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:

[tex] {a}^{2} + {a}^{2} = {14}^{2} \\ 2 {a}^{2} = 196 \\ {a}^{2} = 98[/tex]

Therefore, the area is 98 square yards.