Exploring Area of Composite Figures

What is the primary focus of Section 9-3 in the tutorial?

• Studying circular shapes

• Learning about geometric proofs

• Understanding composite figures

• Calculating the volume of solids

Tags

CCSS.5.MD.C.5C

Which tool is suggested to have handy due to the calculations involving a calculator?

• Compass

• Ruler

• Desmos or a calculator

• Protractor

What shapes make up the composite figure in the first example?

• A square and a circle

• Two triangles and a rectangle

• A triangle, a rectangle, and a semi-circle

• Two rectangles and a circle

Tags

CCSS.1.G.A.2

How is the area of the semi-circle calculated in the first example?

• Radius squared divided by two

• Pi times radius squared divided by two

• Pi times diameter squared divided by four

• Pi times radius squared

Tags

CCSS.7.G.B.4

What is the base length of the equilateral triangle in the second example?

• 8 units

• 6 units

• 4 units

• 2 units

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

What mathematical concept is used to find the height of the equilateral triangle in the second example?

• Area formula for triangles

• Trigonometric ratios

• Pythagorean theorem

• Special right triangles

Tags

CCSS.6.G.A.1

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

• Base plus height

• Base divided by height

• Base times height

• Base times height divided by two

Tags

CCSS.6.G.A.1

In the third example, what is the base of the triangle added to the rectangle?

• 37.5 units

• 75 units

• 50 units

• 62.5 units

Tags

CCSS.3.G.A.1

How is the height of the triangle in the third example determined?

• By measuring directly

• Using the area formula

• Using the Pythagorean theorem

• Using trigonometric identities

Tags

CCSS.6.G.A.1

What is the final area calculation for the composite figure in the third example?

• 1600 square meters

• 2000 square meters

• 1500 square meters

• 1781.25 square meters