Area and Perimeter on the Coordinate Plane

Front

What is the definition of Area?

Back

Area is the amount of space inside a two-dimensional shape, measured in square units.

Front

What is the definition of Perimeter?

Back

Perimeter is the total distance around a two-dimensional shape, calculated by adding the lengths of all its sides.

Front

What are the four quadrants of the coordinate plane?

Back

Quadrant I (x > 0, y > 0), Quadrant II (x < 0, y > 0), Quadrant III (x < 0, y < 0), Quadrant IV (x > 0, y < 0).

Front

How do you determine the quadrant of a point (x, y)?

Back

If x is positive and y is positive, it's in Quadrant I; if x is negative and y is positive, it's in Quadrant II; if x is negative and y is negative, it's in Quadrant III; if x is positive and y is negative, it's in Quadrant IV.

Front

What is the formula for calculating the area of a rectangle?

Back

Area = length × width.

Front

What is the formula for calculating the perimeter of a rectangle?

Back

Perimeter = 2 × (length + width).

Front

How do you find the distance between two points (x1, y1) and (x2, y2) on a coordinate plane?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What is the area of a rectangle with length 7 units and width 5 units?

Back

Area = 7 × 5 = 35 square units.

Front

What is the perimeter of a rectangle with length 7 units and width 5 units?

Back

Perimeter = 2 × (7 + 5) = 24 units.

Front

What is the area of a triangle?

Back

Area = 1/2 × base × height.