Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
Chapter 3, Problem 19PT
a.
To determine
To calculate: The lengths of the sides of the trapezoid.
a.
Expert Solution
Answer to Problem 19PT
The length of shorter base is 11 inches, longer base is 27 inches and length of congruent legs is 10 inches.
Explanation of Solution
Given information:
In an isosceles trapezoid a denote the measure of shorter base, c denote the measure of longer base and b denote the measure of congruent legs,
The perimeter is 58 inches. The average of bases is 19 inches and longer base is twice the leg plus 7.
Calculation:
Consider the provided information thatin an isosceles trapezoid a denote the measure of shorter base, c denote the measure of longer base and b denote the measure of congruent legs,
The perimeter is 58 inches. The average of bases is 19 inches and longer base is twice the leg plus 7.
Therefore, equations formed are,
Rewrite the above system as,
Substitute
Substitute
Substitute
Thus, length of shorter base is 11 inches, longer base is 27 inches and length of congruent legs is 10 inches.
b.
To determine
To calculate: The area of trapezoid.
b.
Expert Solution
Answer to Problem 19PT
The area is
Explanation of Solution
Given information:
The length of shorter base is 11 inches, longer base is 27 inches and length of congruent legs is 10 inches.
Calculation:
Consider the provided information thatlength of shorter base is 11 inches, longer base is 27 inches and length of congruent legs is 10 inches.
The area of trapezoid is
Sum of parallel sides is sum of shorter and longer base.
Consider the graphical representation of trapezoid
The value of d is,
Use the Pythagoras theorem to evaluate the value of h .
The area of trapezoid is,
Thus, area of trapezoid is
Chapter 3 Solutions
Algebra 2
Ch. 3.1 - Prob. 1ACYPCh. 3.1 - Prob. 1BCYPCh. 3.1 - Prob. 2ACYPCh. 3.1 - Prob. 2BCYPCh. 3.1 - Prob. 3CYPCh. 3.1 - Prob. 4ACYPCh. 3.1 - Prob. 4BCYPCh. 3.1 - Prob. 4CCYPCh. 3.1 - Prob. 4DCYPCh. 3.1 - Prob. 1CYU
Ch. 3.1 - Prob. 2CYUCh. 3.1 - Prob. 3CYUCh. 3.1 - Prob. 4CYUCh. 3.1 - Prob. 5CYUCh. 3.1 - Prob. 6CYUCh. 3.1 - Prob. 7CYUCh. 3.1 - Prob. 8CYUCh. 3.1 - Prob. 9CYUCh. 3.1 - Prob. 10CYUCh. 3.1 - Prob. 11CYUCh. 3.1 - Prob. 12CYUCh. 3.1 - Prob. 13PPSCh. 3.1 - Prob. 14PPSCh. 3.1 - Prob. 15PPSCh. 3.1 - Prob. 16PPSCh. 3.1 - Prob. 17PPSCh. 3.1 - Prob. 18PPSCh. 3.1 - Prob. 19PPSCh. 3.1 - Prob. 20PPSCh. 3.1 - Prob. 21PPSCh. 3.1 - Prob. 22PPSCh. 3.1 - Prob. 23PPSCh. 3.1 - Prob. 24PPSCh. 3.1 - Prob. 25PPSCh. 3.1 - Prob. 26PPSCh. 3.1 - Prob. 27PPSCh. 3.1 - Prob. 28PPSCh. 3.1 - Prob. 29PPSCh. 3.1 - Prob. 30PPSCh. 3.1 - Prob. 31PPSCh. 3.1 - Prob. 32PPSCh. 3.1 - Prob. 33PPSCh. 3.1 - Prob. 34PPSCh. 3.1 - Prob. 35PPSCh. 3.1 - Prob. 36PPSCh. 3.1 - Prob. 37PPSCh. 3.1 - Prob. 38PPSCh. 3.1 - Prob. 39PPSCh. 3.1 - Prob. 40PPSCh. 3.1 - Prob. 41PPSCh. 3.1 - Prob. 42HPCh. 3.1 - Prob. 43HPCh. 3.1 - Prob. 44HPCh. 3.1 - Prob. 45HPCh. 3.1 - Prob. 46HPCh. 3.1 - Prob. 47HPCh. 3.1 - Prob. 48HPCh. 3.1 - Prob. 49HPCh. 3.1 - 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