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McDougal Littell Jurgensen Geometry : Student Edition 2000

Ray C. Jurgensen, Richard G. Brown

Chapter 11

Areas of Plane Figures - all with Video Answers

Educators

Section 1

Areas of Rectangles

04:03

Problem 1

Refer to rectangles. Complete the tables. $p$ is the perimeter.
(TABLE CANNOT COPY)

Matthew Biollo
Matthew Biollo
Numerade Educator
04:03

Problem 2

Refer to rectangles. Complete the tables. $p$ is the perimeter.
(TABLE CANNOT COPY)

Matthew Biollo
Matthew Biollo
Numerade Educator
04:03

Problem 3

Refer to rectangles. Complete the tables. $p$ is the perimeter.
(TABLE CANNOT COPY)

Matthew Biollo
Matthew Biollo
Numerade Educator
04:03

Problem 4

Refer to rectangles. Complete the tables. $p$ is the perimeter.
(TABLE CANNOT COPY)

Matthew Biollo
Matthew Biollo
Numerade Educator
04:03

Problem 5

Refer to rectangles. Complete the tables. $p$ is the perimeter.
(TABLE CANNOT COPY)

Matthew Biollo
Matthew Biollo
Numerade Educator
04:03

Problem 6

Refer to rectangles. Complete the tables. $p$ is the perimeter.
(TABLE CANNOT COPY)

Matthew Biollo
Matthew Biollo
Numerade Educator
00:07

Problem 7

refer to rectangles. Complete the tables. $p$ is the perimeter.

Amrita Bhasin
Amrita Bhasin
Numerade Educator
04:03

Problem 8

Refer to rectangles. Complete the tables. $p$ is the perimeter.
(TABLE CANNOT COPY)

Matthew Biollo
Matthew Biollo
Numerade Educator
04:03

Problem 9

Refer to rectangles. Complete the tables. $p$ is the perimeter.
(TABLE CANNOT COPY)

Matthew Biollo
Matthew Biollo
Numerade Educator
04:03

Problem 10

Refer to rectangles. Complete the tables. $p$ is the perimeter.
(TABLE CANNOT COPY)

Matthew Biollo
Matthew Biollo
Numerade Educator
04:03

Problem 11

Refer to rectangles. Complete the tables. $p$ is the perimeter.
(TABLE CANNOT COPY)

Matthew Biollo
Matthew Biollo
Numerade Educator
04:03

Problem 12

Refer to rectangles. Complete the tables. $p$ is the perimeter.
(TABLE CANNOT COPY)

Matthew Biollo
Matthew Biollo
Numerade Educator
04:03

Problem 13

Refer to rectangles. Complete the tables. $p$ is the perimeter.
(TABLE CANNOT COPY)

Matthew Biollo
Matthew Biollo
Numerade Educator
04:03

Problem 14

Refer to rectangles. Complete the tables. $p$ is the perimeter.
(TABLE CANNOT COPY)

Matthew Biollo
Matthew Biollo
Numerade Educator
04:03

Problem 15

Refer to rectangles. Complete the tables. $p$ is the perimeter.
(TABLE CANNOT COPY)

Matthew Biollo
Matthew Biollo
Numerade Educator
04:03

Problem 16

Refer to rectangles. Complete the tables. $p$ is the perimeter.
(TABLE CANNOT COPY)

Matthew Biollo
Matthew Biollo
Numerade Educator
00:48

Problem 17

Consecutive sides of the figures are perpendicular. Find the area of each figure.
(FIGURE CANNOT COPY)

Lauren Shelton
Lauren Shelton
Numerade Educator
00:48

Problem 18

Consecutive sides of the figures are perpendicular. Find the area of each figure.
(FIGURE CANNOT COPY)

Lauren Shelton
Lauren Shelton
Numerade Educator
00:48

Problem 19

Consecutive sides of the figures are perpendicular. Find the area of each figure.
(FIGURE CANNOT COPY)

Lauren Shelton
Lauren Shelton
Numerade Educator
00:48

Problem 20

Consecutive sides of the figures are perpendicular. Find the area of each figure.
(FIGURE CANNOT COPY)

Lauren Shelton
Lauren Shelton
Numerade Educator
00:48

Problem 21

Consecutive sides of the figures are perpendicular. Find the area of each figure.
(FIGURE CANNOT COPY)

Lauren Shelton
Lauren Shelton
Numerade Educator
00:48

Problem 22

Consecutive sides of the figures are perpendicular. Find the area of each figure.
(FIGURE CANNOT COPY)

Lauren Shelton
Lauren Shelton
Numerade Educator
01:22

Problem 23

Find each area in terms of the variables.
(FIGURE CANNOT COPY)

Katelyn Chen
Katelyn Chen
Numerade Educator
01:22

Problem 24

Find each area in terms of the variables.
(FIGURE CANNOT COPY)

Katelyn Chen
Katelyn Chen
Numerade Educator
00:23

Problem 25

Find the area of a square with diagonals of length $d$

Amrita Bhasin
Amrita Bhasin
Numerade Educator
05:29

Problem 26

The length of a rectangle is $12 \mathrm{cm}$ more than its width. Find the area of the rectangle if its perimeter is $100 \mathrm{cm} .$

Avi Zellman
Avi Zellman
Numerade Educator
00:26

Problem 27

A path $2 \mathrm{m}$ wide surrounds a rectangular garden $20 \mathrm{m}$ long and $12 \mathrm{m}$ wide. Find the area of the path.

Amrita Bhasin
Amrita Bhasin
Numerade Educator
01:03

Problem 28

How much will it cost to blacktop the driveway shown if blacktopping costs $\$ 11.00$ per square meter?

Ashley High
Ashley High
Numerade Educator
00:33

Problem 29

A room 28 ft long and 20 ft wide has walls 8 ft high.
a. What is the total wall area?
b. How many gallon cans of paint should be bought to paint the walls if 1 gal of paint covers $300 \mathrm{ft}^{2}$ ?

Amrita Bhasin
Amrita Bhasin
Numerade Educator
00:33

Problem 30

A wooden fence 6 ft high and 220 ft long is to be painted on both sides.
a. What is the total area to be painted?
b. A gallon of a certain type of paint will cover only $200 \mathrm{ft}^{2}$ of area for the first coat, but on the second coat a gallon of the same paint will cover $300 \mathrm{ft}^{2}$. If the fence is to be given two coats of paint, how many gallons of paint should be bought?

Amrita Bhasin
Amrita Bhasin
Numerade Educator
00:31

Problem 31

A rectangle having area $392 \mathrm{m}^{2}$ is twice as long as it is wide. Find its dimensions.

Amrita Bhasin
Amrita Bhasin
Numerade Educator
07:46

Problem 32

The lengths of the sides of three squares are $s, s+1,$ and $s+2$ If their total area is $365 \mathrm{cm}^{2},$ find their total perimeter.

JG
Joshua Gutierrez
Numerade Educator
00:32

Problem 33

Derive a formula for the area of the triangle shown by using the formula for the area of a rectangle.

Amrita Bhasin
Amrita Bhasin
Numerade Educator
02:04

Problem 34

The diagonals of a rectangle are $18 \mathrm{cm}$ long and intersect at a $60^{\circ}$ angle. Find the area of the rectangle.

Sachit Kshatriya
Sachit Kshatriya
Numerade Educator
04:24

Problem 35

a. Suppose you have $40 \mathrm{m}$ of fencing with which to make a rectangular pen for a dog. If one side of the rectangle is $x$ m long, explain why the other side is $(20-x) \mathrm{m}$ long.
b. Express the area of the pen in terms of $x .$
c. Find the area of the pen for each value of $x: 0,2,$ $4,6,8,10,12,14,16,18,20 .$ Record your answers on a set of axes like the one shown.
d. Give the dimensions of the pen with the greatest area.

Lewis Groves
Lewis Groves
Numerade Educator
01:05

Problem 36

A farmer has $100 \mathrm{m}$ of fencing with which to make a rectangular corral. A side of a barn will be used as one side of the corral, as shown in the overhead view.
a. If the width of the corral is $x,$ express the length and the area in terms of $x .$
b. Make a graph showing values of $x$ on the horizontal axis and the corresponding areas on the vertical axis.
c. What dimensions give the corral the greatest possible area?

Kimberly Waterbury
Kimberly Waterbury
Numerade Educator
00:23

Problem 37

Draw a rectangle. Then construct a square with equal area.

Amrita Bhasin
Amrita Bhasin
Numerade Educator