Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN: 9780547587776

Author: HOLT MCDOUGAL

Publisher: HOLT MCDOUGAL

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Question

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

Chapter 2.6, Problem 34E

To determine

An expression in terms of x for the area of the figure.

Expert Solution

Answer to Problem 34E

The expression for the area of the figure in terms of x is 11x square feet.

Explanation of Solution

Given:

Consider the figure provided in the question:

Holt Mcdougal Larson Pre-algebra: Student Edition 2012, Chapter 2.6, Problem 34E , additional homework tip 1

Concept Used:

Consider the formula for the area of a triangle:

area=12⋅base⋅height

Moreover, the formula for area of a rectangle:

area=length⋅width

Calculation:

As per the figure provided in the question,

Holt Mcdougal Larson Pre-algebra: Student Edition 2012, Chapter 2.6, Problem 34E , additional homework tip 2

In the figure, a triangle is mounted on a rectangle.

The height of the triangle = 6 feet.

The base of the triangle = x feet.

The length of the rectangle = x feet.

The width of the rectangle = 8 feet.

Consider the formula of area of triangle:

area=12⋅base⋅height

Substitute the values of base and height in the formula as per the question,

area=12⋅x⋅6area=3x.

Now, consider the formula for area of rectangle:

area=length⋅width

Substitute the values of length and width in the formula as per the question,

area=x⋅8area=8x.

Total area of the figure is the sum of area of triangle and area of rectangle.

total area=3x+8xtotal area=11x.

Hence,

Total area of the figure in terms of x is 11x square feet .

Conclusion:

Total area of the figure in terms of x is 11x square feet .

To determine

The value of x.

Expert Solution

Answer to Problem 34E

The value of x if area is 154 square feet is 14 feet.

Explanation of Solution

Given:

Consider, Total area of the figure = 154 square feet .

Calculation:

As per the given problem

In terms of x ,

total area=11x.

Given, total area = 154 square feet .

Equate the two values of the area,

11x=154

Dividing both sides of the equation by 14 ,

11x11=15411

Therefore,

x=14.

Hence,

The value of x if area is 154 square feet is 14 feet.

Conclusion:

The value of x if area is 154 square feet is 14 feet.

Chapter 2.6, Problem 33E

Chapter 2.6, Problem 35E

Chapter 2 Solutions

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

Ch. 2.1 - Prob. 1PSQ Ch. 2.1 - Prob. 2PSQ Ch. 2.1 - Prob. 3PSQ Ch. 2.1 - Prob. 4PSQ Ch. 2.1 - Prob. 5PSQ Ch. 2.1 - Prob. 6PSQ Ch. 2.1 - Prob. 7PSQ Ch. 2.1 - Prob. 8PSQ Ch. 2.1 - Prob. 9PSQ Ch. 2.1 - Prob. 10PSQ

Ch. 2.1 - Prob. 11PSQ Ch. 2.1 - Prob. 1C Ch. 2.1 - Prob. 2C Ch. 2.1 - Prob. 3C Ch. 2.1 - Prob. 4C Ch. 2.1 - Prob. 5C Ch. 2.1 - Prob. 6C Ch. 2.1 - Prob. 7C Ch. 2.1 - Prob. 8C Ch. 2.1 - Prob. 9C Ch. 2.1 - Prob. 10C Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E Ch. 2.1 - Prob. 11E Ch. 2.1 - Prob. 12E Ch. 2.1 - Prob. 13E Ch. 2.1 - Prob. 14E Ch. 2.1 - Prob. 15E Ch. 2.1 - Prob. 16E Ch. 2.1 - Prob. 17E Ch. 2.1 - Prob. 18E Ch. 2.1 - Prob. 19E Ch. 2.1 - Prob. 20E Ch. 2.1 - Prob. 21E Ch. 2.1 - Prob. 22E Ch. 2.1 - Prob. 23E Ch. 2.1 - Prob. 24E Ch. 2.1 - Prob. 25E Ch. 2.1 - Prob. 26E Ch. 2.1 - Prob. 27E Ch. 2.1 - Prob. 28E Ch. 2.1 - Prob. 29E Ch. 2.1 - Prob. 30E Ch. 2.1 - Prob. 31E Ch. 2.1 - Prob. 32E Ch. 2.1 - Prob. 33E Ch. 2.1 - Prob. 34E Ch. 2.1 - Prob. 35E Ch. 2.1 - Prob. 36E Ch. 2.1 - Prob. 37E Ch. 2.1 - Prob. 38E Ch. 2.1 - Prob. 39E Ch. 2.1 - Prob. 40E Ch. 2.1 - 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An expression in terms of x for the area of the figure .

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An expression in terms of x for the area of the figure.

Answer to Problem 34E

Explanation of Solution

The value of x.

Answer to Problem 34E

Explanation of Solution

Chapter 2 Solutions

Additional Math Textbook Solutions