Concept explainers
a.
To find: The expression of the area of trapezium.
a.
Answer to Problem 8.2.3P
Expression of Area is
Explanation of Solution
Given information:
The given trapezium is,
Calculation:
General formula for trapezium is given by,
Sum of parallel lines,
Perpendicular height between it is,
Expression of Area is
b.
To find: The maximum area of trapezoid and the height that gives this area.
b.
Answer to Problem 8.2.3P
The maximum area is
Explanation of Solution
Given information:
Expression of Area is
Calculation:
The given area is,
Differentiate equation 1 with respect to h .
Equate equation 2 with respect to h .
Again differentiate equation 2 with respect to h .
Since second derivative is less than 0, the maximum area will be at
Maximum Area is,
Hence, the maximum area is
Chapter ISG Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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