holt ca course 1 10-3 area of parallelograms vocabulary area base height
TRANSCRIPT
Holt CA Course 1
10-3Area of Parallelograms
Vocabulary
area
base
height
Holt CA Course 1
10-3Area of Parallelograms
The area of a figure is the number of non-overlapping unit squares needed to cover the figure. Area is measured in square units.
The base of a parallelogram is the length of one side. Its height is the perpendicular distance from the base to the opposite side.
For a rectangle, the base is the same as the length, and the height is the same as the width.
h
b
Area = 15 square units
Holt CA Course 1
10-3Area of Parallelograms
Holt CA Course 1
10-3Area of Parallelograms
Find the area of the parallelogram.
Example 1: Finding the Area of a Parallelogram
8 m
16 m
The area of the parallelogram is 128 m2.
Holt CA Course 1
10-3Area of Parallelograms
Find the area of the parallelogram.
6 cm
12 cm
The area of the parallelogram is 72 cm2.
Check It Out! Example 2
Holt CA Course 1
10-3Area of Parallelograms
Find the area of the rectangle.
Example 3: Finding the Area of a Rectangle
4.5 in.
7.4 in.
The area of the rectangle is 33.3 in2.
Holt CA Course 1
10-3Area of Parallelograms
The area of a playing field is 1,470 ft2 and the length is 42 ft. What is the width of the field?
Example 5: Finding Length or Width of a Rectangle
The width of the playing field is 35 ft.
Holt CA Course 1
10-3Area of Parallelograms
The area of a rectangular parking lot is 3,570 ft2 and the width is 70 ft. What is the length of the parking lot?
Check It Out! Example 6
The length of the parking lot is 51 ft.
Holt CA Course 1
10-3Area of Parallelograms
A carpenter is laying a wood floor measuring 4 yd by 5 yd. How many square feet of flooring material does she need?
Example 7: Measurement Application
Step 1: Draw and label a diagram.
Step 2: Convert the units.4 yd
5 yd
Holt CA Course 1
10-3Area of Parallelograms
A carpenter is laying a wood floor measuring 4 yd by 5 yd. How many square feet of flooring material does she need?
Example 7 Continued
Step 3: Find the area of the floor in square feet.
A = lw Use the formula for the area of a rectangle.
The carpenter needs 180 ft2
of flooring material.
12 ft
15 ft
Holt CA Course 1
10-3Area of Parallelograms
A carpenter is laying a tile floor measuring 5 yd by 7 yd. How many square feet of tile material does she need?
Check It Out! Example 8
Step 1: Draw and label a diagram.
Step 2: Convert the units.
5 yd
7 yd
Holt CA Course 1
10-3Area of ParallelogramsCheck It Out! Example 8 Continued
Step 3: Find the area of the tile floor in square feet.
A = lw
A carpenter is laying a tile floor measuring 5 yd by 7 yd. How many square feet of tile material does she need?
15 ft
21 ft
The carpenter needs 315 ft2
of flooring material.
Holt CA Course 1
10-3Area of Parallelograms
Lesson Quiz: Part II
5. Diego is building a rectangular platform measuring 36 in. by 54 in. What is the area of the platform in square feet?
13.5 ft2