Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Textbook Question
Chapter 61, Problem 1A

Plans call for triangle Δ B C D to be sheared off a corner of a rectangle as shown in the figure. A decision is made to move one vertex of the triangle 1.5 in. from B to B' and the other vertex from D to D'. How much larger is the area of AB' D' than ABDEF ?

Chapter 61, Problem 1A, Plans call for triangle BCDto be sheared off a corner of a rectangle as shown in the figure. A

Expert Solution & Answer
Check Mark
To determine

Difference of area between ABDEF and ABDEF.

Answer to Problem 1A

The difference in area is 25.09in2.

Explanation of Solution

Given:

Rectangle with the dimensions is shown below:

Mathematics For Machine Technology, Chapter 61, Problem 1A

Concept used:

Expression for the difference of area is given below:

  A=area(ΔBCD)area(ΔBCD)  ......(1)

Here, difference of area is A.

Calculation:

Area of triangle BCD is calculated as follows:

  area(ΔBCD)=12BC×CDarea(ΔBCD)=12×18×(176)area(ΔBCD)=99in2

Area of triangle BCD is calculated as follows:

  area(ΔBCD)=12BC×CDarea(ΔBCD)=12×15.56×(177.5)area(ΔBCD)=73.91in2

Substitute 99unit2 for area(ΔBCD) and 73.91unit2 for area(ΔBCD) in equation (1).

  A=9973.91A=25.09in2

Thus, the difference in area is 25.09in2.

Conclusion:

The difference in area is 25.09in2.

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Chapter 61 Solutions

Mathematics For Machine Technology

Ch. 61 - Find the unknown area, or diameter for each of the...Ch. 61 - Find the unknown area, or diameter for each of the...Ch. 61 - Find the unknown area, or diameter for each of the...Ch. 61 - Find the unknown area, or diameter for each of the...Ch. 61 - Find the unknown area, or diameter for each of the...Ch. 61 - Find the unknown area, or diameter for each of the...Ch. 61 - Find the unknown area, or diameter for each of the...Ch. 61 - Find the unknown area, or diameter for each of the...Ch. 61 - A rectangular steel plate 15.10 inches long and...Ch. 61 - Hydraulic pressure of 705.0 pounds per square inch...Ch. 61 - A circular base is shown. The base is cut from a...Ch. 61 - Find the area of the template shown. Round the...Ch. 61 - A force of 62,125 pounds pulls on a steel rod that...Ch. 61 - A piece shown by the shaded portion is to be cut...Ch. 61 - Find the unknown area, radius, or central angle...Ch. 61 - Find the unknown area, radius, or central angle...Ch. 61 - Find the unknown area, radius, or central angle...Ch. 61 - Find the unknown area, radius, or central angle...Ch. 61 - Find the unknown area, radius, or central angle...Ch. 61 - Find the unknown area, radius, or central angle...Ch. 61 - Find the unknown area, radius, or central angle...Ch. 61 - Find the unknown area, radius, or central angle...Ch. 61 - Prob. 33ACh. 61 - Prob. 34ACh. 61 - Prob. 35ACh. 61 - Find the unknown area, radius, or central angle...Ch. 61 - A section of a piece of round stock with a...Ch. 61 - Three pieces, each in the shape of a sector, are...Ch. 61 - Prob. 39ACh. 61 - Prob. 40ACh. 61 - Find the area of each of the segments ACE for...Ch. 61 - Prob. 42ACh. 61 - Prob. 43ACh. 61 - Prob. 44ACh. 61 - Prob. 45ACh. 61 - Prob. 46ACh. 61 - Compute the area of the steel insert (shaded...Ch. 61 - A pattern is shown. a. Find the surface area of...Ch. 61 - The shaded piece shown is cut from a circular...Ch. 61 - Prob. 50A
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