A beach umbrella has a canvas formed by 10 equal isosceles triangles with a base of 20 cm and a height of 68 cm. We need to find the total area of the umbrella's canvas.

1. Problem Description

A beach umbrella has a canvas formed by 10 equal isosceles triangles with a base of 20 cm and a height of 68 cm. We need to find the total area of the umbrella's canvas.

2. Solution Steps

First, we need to find the area of one isosceles triangle. The formula for the area of a triangle is:

$Area = (1/2) * base * height$

In this case, the base is 20 cm and the height is 68 cm. So, the area of one triangle is:

$Area = (1/2) * 20 * 68$

$Area = 10 * 68$

$Area = 680 \text{ cm}^2$

Since there are 10 identical triangles, we multiply the area of one triangle by 10 to find the total area:

$Total Area = 10 * 680$

$Total Area = 6800 \text{ cm}^2$

3. Final Answer

The total area of the umbrella's canvas is 6800 cm$^2$.