Understanding Polygon Area Calculation

The video tutorial explains how to find the area of a shaded polygon by dividing it into a rectangle and a triangle. It guides through calculating the base of the triangle and using area formulas to find the total area. The final area is calculated by summing the areas of the rectangle and triangle, resulting in 91 square meters.

What is the first step in finding the area of the shaded polygon?

• Ignore the shaded portion.

• Use a single formula for the polygon.

• Divide the polygon into simpler shapes.

• Estimate the area visually.

Which two shapes is the polygon divided into?

• A circle and a rectangle

• Two rectangles

• Two triangles

• A rectangle and a triangle

How do we determine the base of the triangle?

• By measuring it directly

• By guessing its length

• By subtracting known lengths from the total length

• By using the Pythagorean theorem

What is the formula for the area of a rectangle?

• Base times height

• Length times width

• Side squared

• Half base times height

What is the formula for the area of a triangle?

• Base times height

• Length times width

• Half base times height

• Side squared

What is the length of the rectangle in the problem?

• 5 meters

• 6 meters

• 7 meters

• 14 meters

What is the width of the rectangle in the problem?

• 5 meters

• 6 meters

• 14 meters

• 7 meters

What is the base of the triangle in the problem?

• 14 meters

• 7 meters

• 6 meters

• 5 meters

What is the height of the triangle in the problem?

• 5 meters

• 6 meters

• 14 meters

• 7 meters

What is the total area of the polygon?

• 70 square meters

• 100 square meters

• 91 square meters

• 84 square meters