Understanding Areas on a Cartesian Coordinate Plane

The video tutorial explains how to find the area of figures on a Cartesian coordinate plane. It starts with simple shapes like triangles, using the formula 1/2 base times height. The tutorial then moves to composite figures, combining rectangles and triangles, and calculating their total area. For more complex shapes not aligned with the axes, the subtraction method is introduced, where the area of an outer rectangle is calculated, and the areas of right triangles are subtracted to find the shaded region's area.

What is the formula used to calculate the area of a triangle on a Cartesian coordinate plane?

• Base plus height

• Base times height

• One half of base times height

• Base minus height

Tags

CCSS.6.G.A.1

If a triangle has a base of 5 units and a height of 2 units, what is its area?

• 10 square units

• 7 square units

• 5 square units

• 2.5 square units

Tags

CCSS.3.MD.C.7D

How do you find the area of a composite figure consisting of a rectangle and a triangle?

• Add the areas of the rectangle and triangle

• Divide the area of the rectangle by the triangle

• Multiply the areas of the rectangle and triangle

• Subtract the area of the triangle from the rectangle

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of a rectangle that is 2 units long and 2 units high?

• 4 square units

• 6 square units

• 8 square units

• 2 square units

Tags

CCSS.3.MD.C.7D

In a composite figure, if the rectangle's area is 4 square units and the triangle's area is 1 square unit, what is the total area?

• 6 square units

• 5 square units

• 4 square units

• 3 square units

Tags

CCSS.6.G.A.3

What method can be used to find the area of a shape not aligned with the axes on a Cartesian plane?

• Addition method

• Subtraction method

• Multiplication method

• Division method

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

How do you calculate the area of a rectangle that measures 5 by 5 units?

• 15 square units

• 10 square units

• 20 square units

• 25 square units

Tags

CCSS.6.G.A.1

If a triangle has a base of 3 units and a height of 3 units, what is its area?

• 3.5 square units

• 4.5 square units

• 6.5 square units

• 5.5 square units

Tags

CCSS.6.G.A.1

What is the area of a triangle with a base of 5 units and a height of 2 units?

• 7 square units

• 4 square units

• 6 square units

• 5 square units

After subtracting the areas of three triangles from a 25 square unit rectangle, what is the remaining area if the triangles' areas are 4.5, 5, and 5 square units?

• 10.5 square units

• 11.5 square units

• 13.5 square units

• 12.5 square units