Final answer:
The area of the entire kite formed by two congruent triangles with 4.5 cm bases and heights of 7.9 cm is 35.55 cm².
Step-by-step explanation:
To find the area of the entire kite, which is formed by two congruent triangles, you simply need to calculate the area of one triangle and then multiply by two since a kite consists of two congruent triangles joined together. The formula for the area of a triangle is 1/2 × base × height. In this case, each triangle has a base of 4.5 cm and a height of 7.9 cm.
The area of one triangle can be calculated as follows:
Area = 1/2 × (4.5 cm) × (7.9 cm) = 1/2 × 35.55 cm² = 17.775 cm².
Since the kite is made up of two such triangles, the total area of the kite is:
Total area = 2 × 17.775 cm² = 35.55 cm².
Therefore, the correct answer is c. 35.55 cm².