Understanding Quadrilateral Area Calculation

This video tutorial explains how to find the area of a quadrilateral by dividing it into two triangles. The instructor provides a step-by-step guide, starting with identifying the quadrilateral's properties and then dividing it into triangles. The video demonstrates calculating the area of each triangle using the formula 1/2 base times height and then summing these areas to find the total area of the quadrilateral. An alternative method is also presented, which involves averaging the lengths of the bases and multiplying by the height. The tutorial emphasizes understanding the geometric properties and applying basic area formulas.

What is the shape of the figure whose area we are trying to find?

• Hexagon

• Pentagon

• Quadrilateral

• Triangle

Tags

CCSS.6.G.A.1

What is the hint given to solve the problem of finding the area of the quadrilateral?

• Use a protractor

• Measure the angles

• Use the Pythagorean theorem

• Divide it into two triangles

Tags

CCSS.6.G.A.1

What is the formula for finding the area of a triangle?

• Base times height

• Base minus height

• One half base times height

• Base plus height

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

What is the base length of the first triangle after reorientation?

• 4

• 5

• 8

• 10

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

What is the height of the second triangle after reorientation?

• 4

• 3

• 5

• 6

Tags

CCSS.3.MD.C.7D

How do you find the total area of the quadrilateral?

• Add the areas of the two triangles

• Multiply the areas of the two triangles

• Subtract the areas of the two triangles

• Divide the areas of the two triangles

Tags

CCSS.6.G.A.1

What is the alternative method to calculate the area of the quadrilateral?

• Using the diagonal

• Using the average of the bases and the height

• Using the sum of the angles

• Using the perimeter

Tags

CCSS.7.G.B.6

What is the average of the two bases in the alternative method?

• 12

• 10

• 8

• 6

Tags

CCSS.6.G.A.1

What is the final calculated area of the quadrilateral?

• 20 square units

• 25 square units

• 30 square units

• 35 square units

Tags

CCSS.7.NS.A.3

What is the result of one half times 8 plus 4 in the alternative method?

• 4

• 6

• 8

• 10

Tags

CCSS.7.NS.A.3