Exploring the Area of Polygons

What is the primary focus of unit number eight in the geometry course?

• Learning trigonometric identities

• Calculating area and volume of 3D shapes

• Studying historical mathematicians

• Understanding algebraic expressions

Which formula is used for calculating the area of a triangle?

• Side x Side

• π x Radius squared

• Base x Height / 2

• Length x Width

What units are used to measure area?

• Square units

• Kilograms

• Linear meters

• Cubic units

How is the area of a rectangle calculated?

• π x Radius squared

• Base x Height / 2

• Side x Side

• Base x Height

What is the correct area calculation for a trapezoid using bases and height?

• Base x Height

• (Base1 + Base2) x Height / 2

• Length x Width

• Side x Side

What is the area of a trapezoid with bases 5.1 and 10.9, and height 7.1?

• 113.6 square centimeters

• 28.4 square centimeters

• 56.8 square centimeters

• 45.2 square centimeters

How do you solve for an unknown side in a right triangle using the Pythagorean theorem?

• a / b = c

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

• a x b = c

What is the area of a square if one side measures 7 units?

• 14 square units

• 49 square units

• 28 square units

• 21 square units

In solving for the side of a square using the Pythagorean theorem, what is the next step after establishing the equation 2x^2 = 98?

• Add 98 and divide by 2

• Multiply by 2 and subtract from 98

• Take the square root and multiply by 2

• Divide by 2 and take the square root

How do you find the smaller base of a trapezoid if the area, one base, and height are known?

• Use the area formula to solve for the unknown base

• Multiply the height by the known base and divide by the area

• Subtract the known base from the area

• Divide the area by the height and subtract the known base