Perimeter and Area on the Coordinate Plane

Front

What is the formula for the area of a rectangle?

Back

Area = length × width

Front

If the area of a rectangle is 36 square meters and the length is 3 meters, what is the width?

Back

Width = 12 meters

Front

What is the formula for the perimeter of a rectangle?

Back

Perimeter = 2(length + width)

Front

How do you calculate the perimeter of a triangle given its vertices?

Back

Use the distance formula to find the lengths of each side and sum them up.

Front

What is the distance formula for two points (x1, y1) and (x2, y2)?

Back

Front

What is the area of a square with side length s?

Back

Front

How do you find the area of a polygon on the coordinate plane?

Back

Use the shoelace formula or divide it into simpler shapes.

Front

What is the shoelace formula for finding the area of a polygon?

Back

Area = 1/2 | Σ (x_i * y_{i+1} - y_i * x_{i+1}) | for all vertices.

Front

What is the formula for the area of a triangle given its base and height?

Back

Area = 1/2 × base × height

Front

What is the perimeter of a rectangle with length 10 units and width 5 units?

Back

Perimeter = 30 units