Math Problem Statement

A sail on a boat is shaped like a triangle as shown. What is the area of the sail?

Solution

The sail is in the shape of a triangle, and the problem asks to find the area of the sail.

To calculate the area of a triangle, we use the formula:

Area=12×base×height\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}

From the image, the base of the triangle is 4 meters, and the height is 4.4 meters.

Area=12×4m×4.4m=12×17.6=8.8m2\text{Area} = \frac{1}{2} \times 4 \, \text{m} \times 4.4 \, \text{m} = \frac{1}{2} \times 17.6 = 8.8 \, \text{m}^2

Thus, the area of the sail is 8.8 square meters.

Would you like more details, or do you have any further questions?

Here are 5 related questions to explore:

  1. How would the area change if the height was increased by 50%?
  2. What is the perimeter of this triangular sail?
  3. How would you calculate the area of a non-right triangle?
  4. Can you think of a scenario where knowing the sail's area would be important?
  5. How does the area formula change for shapes other than triangles?

Tip: In any geometric problem involving areas, make sure to correctly identify the base and height, as they must be perpendicular to each other.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of Triangle

Formulas

Area = 1/2 × base × height

Theorems

Area of a triangle theorem

Suitable Grade Level

Grades 6-8