Question

finding the area of a kite
a kite was broken into two triangles of the same size and shape.
the area of each triangle is square centimeters.
the total area of the kite is square centimeters.

Explanation:

Step1: Calculate the area of one triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). Here, the base is \(10\) cm and the height is \(\frac{16}{2} = 8\) cm.

$$A=\frac{1}{2}\times10\times8$$

$$A = 40$$

Step2: Calculate the total area of the kite

Since the kite is made of two congruent triangles, the total area \(A_{total}=2\times A\)

$$A_{total}=2\times40$$

$$A_{total}=80$$

Answer:

The area of each triangle is \(40\) square centimeters. The total area of the kite is \(80\) square centimeters.