10.4a Lesson Areas of Triangles and Quadrilaterals

Presentation

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Mathematics

•

12th Grade

•

Practice Problem

•

Medium

•

CCSS

6.G.A.1, HSG.SRT.D.9, 3.MD.C.7B

Standards-aligned

David Ho

Used 7+ times

FREE Resource

15 Slides • 13 Questions

10.4a Areas of Triangles and Quadrilaterals

Finite Math

EQ: Wednesday, November 15, 2023

How do I find the area of triangles and quadrilaterals using a basic formula?

Area - the size of a flat (2D) space

− measured in square units

Area - the size of a flat (2D) space

− measured in square units

Basic Formula for Area

Multiply Perpendicular Measurements

Conversion Between Units

12 in = 1 foot
1 yard = 3 feet
100 cm = 1 m
1000 mm = 1 m
10 mm = 1 cm
1000 m = 1 km
5280 feet = 1 mile

Basic Area Formula

Name the polygon and find its the area.

Applying Basic Area Formula to Triangles

Math Response

Find the area of the triangle.

Type answer here

Deg^°

Rad

Applying Basic Area Formula to Parallelograms

Math Response

Find the area of the parallelogram.

Type answer here

Deg^°

Rad

Applying Basic Area Formula to Trapezoids

a and b are parallel sides
h is perpendicular distance

Applying Basic Area Formula to Trapezoids

Math Response

Find the area of the trapezoid.

Type answer here

Deg^°

Rad

Areas of Quadrilaterals and Triangles

Parallelogram/Rectangle:

Trapezoid:

Triangle:

Rationale: product of perpendicular measurements

Rationale: sum of parallel sides gives twice the area

Rationale: product of perpendicular measurements, gives twice the area

Multiple Choice

Find the area of the figure.

18.2 square yards

13.1 square yards

4.6 square yards

9.1 square yards

Multiple Choice

Find the area of the figure.

8.875 square feet

6.675 square feet

3.3 square feet

17.75 square feet

Multiple Choice

Find the missing measurement if the area is 20.5 square yards.

7.8 yards

9.1 yards

6.6 yards

8.2 yards

Multiple Choice

Find the missing measurement if the area is 12.4 square feet.

6.7 ft

4.2 ft

9.4 ft

7.8 ft

Multiple Choice

Find the area of the figure.

94.7 square meters

200 square meters

100 square meters

86.5 square meters

Multiple Choice

Find the missing measurement if the area is 49 square yards.

7 yd

2.3 yd

4.7 yd

5.4 yd

Multiple Choice

Find the area of the figure.

165 square yards

80 square yards

41.3 square yards

82.5 square yards

Multiple Choice

Find the area of the figure.

16.94 km^2

23.04 km^2

19.54 km^2

33.88 km^2

Multiple Choice

Find the area of the figure.

19.3 in^2

38.5 in^2

37.3 in^2

77 in^2

Multiple Choice

Find the missing measurement if the area is 25.2 m^2.

4.2 m

5.2 m

2.8 m

3 m

10.4a Areas of Triangles and Quadrilaterals

Finite Math

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