(REV)00 Edition

ISBN: 9780395977224

Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher: McDougal Littell

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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 1.6, Problem 15P

To determine

To translate each problem into an equation. Draw a sketch for the given shape to get help from to get the dimensions of rectangle.

Expert Solution & Answer

Answer to Problem 15P

Required equation: 4x+2x=60 .

Length of rectangle is 20 units.

Width of rectangle is 10 units.

Explanation of Solution

Given information:

Length of rectangle is twice of its width.

Perimeter of rectangle = 60.

Algebra: Structure And Method, Book 1, Chapter 1.6, Problem 15P

Formula used: Perimeter of rectangle = 2l+2w where l and w are length and width of the rectangle.

Calculation:

Let the width of triangle = x

Let the length of triangle (length is twice of width) = 2x

Plugging length l= 2x and width w= x in above formula

Perimeter of rectangle = 2(2x)+2x=60

4x+2x=60

Combine like terms

⇒6x=60

Divide both sides by 6

⇒6x6=606

⇒x=10

Therefore, the width of the rectangle is 10 units.

And the length of rectangle = 2x

= 2×10=20 units.

So, the length of rectangle is 20 units.

Chapter 1.6, Problem 14P

Chapter 1.6, Problem 16P

Chapter 1 Solutions

Algebra: Structure And Method, Book 1

Ch. 1.1 - Prob. 1OE Ch. 1.1 - Prob. 2OE Ch. 1.1 - Prob. 3OE Ch. 1.1 - Prob. 4OE Ch. 1.1 - Prob. 5OE Ch. 1.1 - Prob. 6OE Ch. 1.1 - Prob. 7OE Ch. 1.1 - Prob. 8OE Ch. 1.1 - Prob. 9OE Ch. 1.1 - Prob. 10OE

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