Respuesta :

Answer: B. 25.2 units

Step-by-step explanation:

The kite consists of 4 right angle triangles. The two smaller right angles are equal. Also, the two bigger right angles are equal.

To determine the hypotenuse of each triangle, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Considering the smaller triangle,

Hypotenuse² = 4² + 3² = 16 + 9 = 25

Hypotenuse = √25 = 5

Considering the smaller triangle,

Hypotenuse² = 7² + 3² = 49 + 9 = 58

Hypotenuse = √58 = 7.616

The perimeter of the kite is the sum of the length of each side. Therefore,

Perimeter = 5 + 5 + 7.616 + 7.616 = 25.2 units to the nearest tenth