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Area and Perimeter

Area is the quantity that is measured in square units or the number of square units that constitute a surface, or a solid body. The area under a curve or across a surface is the total number of square units that are covered by the curve or surface, and is given by the cross-sectional area of a solid of the same shape. The area of a circle, of a square, of a triangle, and of a rectangle are simple examples of the concept of area. In the area of any shape or figure, the area can be calculated by multiplying the length of each side by itself. For example, the area of a triangle is calculated by multiplying the length of any one side of the triangle by itself. The area of a circle is calculated by multiplying the radius of the circle by itself. For a rectangle the area is the length of one side times the width of the rectangle. Perimeter is the distance around a closed shape. The perimeter of a circle or an oval is the length of the longest side of the bent shape. The perimeter of a rectangle is the sum of the lengths of the two sides. The perimeter of a square is the sum of the lengths of the four sides. The perimeter of a triangle is the sum of the lengths of the three sides.

Area and Perimeter of Parallelograms

52 Practice Problems
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03:17
Geometry for Enjoyment and Challenge

The perimeter of the parallelogram is
154. Find the parallelogram's area.

Area
Areas of Parallelograms and Triangles
Bryan Lynn
20:34
Geometry for Enjoyment and Challenge

Find the area of each parallelogram to the nearest tenth.
A.(FIGURE CANNOT COPY).
B.(FIGURE CANNOT COPY).
C.(FIGURE CANNOT COPY).

Area
Areas of Parallelograms and Triangles
Vanessa Akaraiwe
00:20
Geometry

Write expressions for the perimeter and area of each of the following figures. FIGURE CAN'T COPY.

Area
Parallelograms and Trapezoids
Tiffany Tran

Area and Perimeter of Rectangles

16 Practice Problems
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02:34
Physics

An architect is redesigning a rectangular room on the blueprints of the house. He decides to double the width of the room, increase the length by $50 \%,$ and increase the height by $20 \% .$ By what factor has the volume of the room increased?

Introduction
Ren Jie Tuieng
01:20
Geometry for Enjoyment and Challenge

Find the area of a rectangle whose length and width are $12.5 \mathrm{cm}$ and $6 \mathrm{cm}$ respectively.

Area
Understanding Area
00:34
Geometry

A basketball court has a length of 28 yards and a width of 15 yards.
What is its perimeter in yards?

Area
Squares and Rectangles
Tiffany Tran

Area and Perimeter of Rhombus

14 Practice Problems
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00:30
Geometry

Quadrilaterals GERA and MIUM are rhombuses.
(FIGURE CAN'T COPY)
Find the perimeter of each rhombus.

Area
Triangles
Lisa Tarman
00:49
Glencoe Geometry

Find the area of each figure.
rhombus with a perimeter of 20 meters and a diagonal of 8 meters

Areas of Polygons and Circles
Areas of Triangles, Trapezoids, and Rhombi
Brandon Fox
06:45
Glencoe Geometry

INTERIOR DESIGN Jacques is designing a window hanging composed of 13 congruent rhombi. The total width of the window hanging is 15 inches, and the total area is 82 square inches. Find the length of each diagonal and the area of one rhombus.
(IMAGE CAN'T COPY)

Areas of Polygons and Circles
Areas of Triangles, Trapezoids, and Rhombi
Sheryl Stone

Area and Perimeter of Squares

6 Practice Problems
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01:52
Geometry for Enjoyment and Challenge

The area of square ABCD is 64 square units. MNOP is formed by joining the midpoints of the sides of ABCD. Find the area and the perimeter of MNOP.
FIGURE CAN'T COPY.

Area
Understanding Area
Nishant Tyagi
00:32
Geometry

Draw figures to illustrate the following exercises and find their areas.
A square whose perimeter is 20 feet.

Area
Squares and Rectangles
Tiffany Tran
00:23
Geometry

The figure below shows the relation between square inches and square feet.
How many square inches are equal to one square foot?

Area
Squares and Rectangles
Tiffany Tran

Area and Perimeter of Triangles

74 Practice Problems
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01:57
Precalculus 10th

Use Heron's Area Formula to find the area of the triangle.
$$a=2.5, \quad b=10.2, \quad c=8$$

Additional Topics in Trigonometery
Law of Cosines
Harmender Singh Yadav
02:26
Precalculus 10th

Use Heron's Area Formula to find the area of the triangle.
$$a=6, \quad b=12, \quad c=17$$

Additional Topics in Trigonometery
Law of Cosines
Harmender Singh Yadav
06:30
Geometry for Enjoyment and Challenge

a As $\overline{\mathrm{PQ}}$ gets smaller and smaller, what happens to quadrilateral PQRS?
b What happens to Brahmagupta's formula if $\mathrm{P}$ and $\mathrm{Q}$ become the same point? (FIGURE CAN'T COPY)

Area
Hero's and Brahmagupta's Formulas
Gokul R Nair

Area and Perimeter of Trapezoids

10 Practice Problems
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02:09
Geometry for Enjoyment and Challenge

Find the area of the figure shown, which was formed by cutting two identical isosceles trapezoids out of a square.
(FIGURE CANNOT COPY)

Area
The Area of a Trapezoid
Jennifer Stoner
01:12
Geometry

The perimeter of a trapezoid is 46 and its area is 108.
Find the perimeter of a similar trapezoid whose corresponding sides are 2.5 times as long.

Similarity
Perimeters and Areas of Similar Polygons
William Scherer
00:46
Geometry

Find the colored area in each of the following figures. FIGURE CAN'T COPY.
$\mathrm{BACH}$ is a trapezoid.

Area
Parallelograms and Trapezoids
Tiffany Tran

Effects of Changing Dimensions on Area and Perimeter

13 Practice Problems
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01:24
Discovering Geometry an Investigative Approach

Suppose the pizza slice in the photo at the beginning of this lesson is a sector with a $36^{\circ}$ arc, and the pizza has a radius of $20 \mathrm{ft}$. If one can of tomato sauce will cover $3 \mathrm{ft}^{2}$ of pizza, how many cans would you need to cover this slice?

Area
Any Way You Slice It
Erika Bustos
01:10
Discovering Geometry an Investigative Approach

The shaded area is $12 \pi \mathrm{cm}^{2}$ Find $r$
(IMAGE CAN'T COPY).

Area
Any Way You Slice It
Erika Bustos
00:49
Discovering Geometry an Investigative Approach

In Exercises $1-8,$ find the area of the shaded region. The radius of each circle is $r .$ If two circles are shown, $r$ is the radius of the smaller circle and $R$ is the radius of the larger circle.
$r=6 \mathrm{cm}$
(IMAGE CAN'T COPY).

Area
Any Way You Slice It
Erika Bustos

Area of Regular Polygons

115 Practice Problems
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00:33
Basic Mathematical Skills with Geometry

Determine whether each object is a polygon or not. If an object is a polygon, determine its type and whether or not it is regular. (FIGURE CAN'T COPY)

Geometry
Perimeter and Area
Katelyn Chen
00:32
Basic Mathematical Skills with Geometry

Determine whether each object is a polygon or not. If an object is a polygon, determine its type and whether or not it is regular. (FIGURE CAN'T COPY)

Geometry
Perimeter and Area
Katelyn Chen
03:01
Geometry for Enjoyment and Challenge

Given: Trapezoid ABCD Find: The ratio of areas I and II
(FIGURE CANNOT COPY)

Area
Ratios of Areas
Md. Tajrian Taher

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