Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN: 9780547587776

Author: HOLT MCDOUGAL

Publisher: HOLT MCDOUGAL

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Question

Chapter 10, Problem 11PTTS

To determine

To calculate the perimeter and area of the trapezoid

To Graph :

To plot the trapezoid in the graph and find the area and perimeter of the trapezoid

Expert Solution & Answer

Explanation of Solution

Given information :

Coordinates given are A (-2,1), B (-5,-3), C (5,-3) and D (2,1)

Graph :

Holt Mcdougal Larson Pre-algebra: Student Edition 2012, Chapter 10, Problem 11PTTS

Interpretation :

Distance( d1 ) between A (-2,1) and D (2,1)

d1=(−2−2)2 +(1−1)2

Solving it for d1

d1=16=4

Distance (d2) between D (2,1) and C (5,-3)

d2=(2−5)2+(1+3)2

On calculating above equation

d2=25=5

Distance (d3) between C(5,-3) and B(-5,-3)

d3=(5+5)2+(−3+3)2

On calculating above equation

d3=(10)2=10

Distance (d4) between A (-2,1) and B (-5,-3)

d4=(−5+2)2+(−3−1)2

On calculating above equation

d4=25=5

Now calculating perimeter of the trapezoid

Perimeter =d1+d2+d3+d4

Substituting the values d1,d2,d3 and d4

Perimeter = 5 + 10 + 5 + 4 = 24 unit

From the above graph, height of the trapezoid is AE

AE = 4 units

Using the below formula to calculate area of the trapezoid

area=12(a+b)×h

Where a is AD , b is BC and h is height of the trapezoid shown in graph

Substituting the values of a, b and h in the above formula

area = 12(4+10)×4

=28 square unit

Chapter 10, Problem 10PTTS

Chapter 10, Problem 12PTTS

Chapter 10 Solutions

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

Ch. 10.1 - Prob. 1C Ch. 10.1 - Prob. 2C Ch. 10.1 - Prob. 3C Ch. 10.1 - Prob. 1E Ch. 10.1 - Prob. 2E Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E Ch. 10.1 - Prob. 7E

Ch. 10.1 - Prob. 8E Ch. 10.1 - Prob. 9E Ch. 10.1 - Prob. 10E Ch. 10.1 - Prob. 11E Ch. 10.1 - Prob. 12E Ch. 10.1 - Prob. 13E Ch. 10.1 - Prob. 14E Ch. 10.1 - Prob. 15E Ch. 10.1 - Prob. 16E Ch. 10.1 - Prob. 17E Ch. 10.1 - Prob. 18E Ch. 10.1 - Prob. 19E Ch. 10.1 - Prob. 20E Ch. 10.1 - Prob. 21E Ch. 10.1 - Prob. 22E Ch. 10.1 - Prob. 23E Ch. 10.1 - Prob. 24E Ch. 10.1 - Prob. 25E Ch. 10.1 - Prob. 26E Ch. 10.1 - Prob. 27E Ch. 10.1 - Prob. 28E Ch. 10.1 - Prob. 29E Ch. 10.1 - Prob. 30E Ch. 10.1 - Prob. 31E Ch. 10.1 - Prob. 32E Ch. 10.2 - Prob. 1C Ch. 10.2 - Prob. 2C Ch. 10.2 - Prob. 3C Ch. 10.2 - Prob. 1E Ch. 10.2 - Prob. 2E Ch. 10.2 - Prob. 3E Ch. 10.2 - Prob. 4E Ch. 10.2 - Prob. 5E Ch. 10.2 - Prob. 6E Ch. 10.2 - Prob. 7E Ch. 10.2 - Prob. 8E Ch. 10.2 - Prob. 9E Ch. 10.2 - Prob. 10E Ch. 10.2 - Prob. 11E Ch. 10.2 - Prob. 12E Ch. 10.2 - Prob. 13E Ch. 10.2 - Prob. 14E Ch. 10.2 - Prob. 15E Ch. 10.2 - Prob. 16E Ch. 10.2 - Prob. 17E Ch. 10.2 - Prob. 18E Ch. 10.2 - Prob. 19E Ch. 10.2 - Prob. 20E Ch. 10.2 - 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Prob. 16PTTS Ch. 10 - Prob. 1CP Ch. 10 - Prob. 2CP Ch. 10 - Prob. 3CP Ch. 10 - Prob. 4CP Ch. 10 - Prob. 5CP Ch. 10 - Prob. 6CP Ch. 10 - Prob. 7CP Ch. 10 - Prob. 8CP Ch. 10 - Prob. 9CP Ch. 10 - Prob. 10CP Ch. 10 - Prob. 11CP Ch. 10 - Prob. 12CP Ch. 10 - Prob. 13CP Ch. 10 - Prob. 14CP Ch. 10 - Prob. 16CP Ch. 10 - Prob. 17CP Ch. 10 - Prob. 18CP Ch. 10 - Prob. 19CP Ch. 10 - Prob. 20CP Ch. 10 - Prob. 21CP Ch. 10 - Prob. 22CP Ch. 10 - Prob. 23CP Ch. 10 - Prob. 25CP Ch. 10 - Prob. 26CP Ch. 10 - Prob. 27CP Ch. 10 - Prob. 28CP Ch. 10 - Prob. 29CP Ch. 10 - Prob. 30CP Ch. 10 - Prob. 31CP Ch. 10 - Prob. 32CP Ch. 10 - Prob. 33CP Ch. 10 - Prob. 34CP

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To calculate the perimeter and area of the trapezoid To Graph : To plot the trapezoid in the graph and find the area and perimeter of the trapezoid

Concept explainers

Videos

To calculate the perimeter and area of the trapezoid To Graph : To plot the trapezoid in the graph and find the area and perimeter of the trapezoid

Explanation of Solution

Chapter 10 Solutions

Additional Math Textbook Solutions

To calculate the perimeter and area of the trapezoid

To Graph :

To plot the trapezoid in the graph and find the area and perimeter of the trapezoid