Concept explainers
(a)
To find the area of rectangle.
(a)

Answer to Problem 35PPE
Explanation of Solution
Given:
The rectangles are centered on the y-axis with bases on the x-axis.
The upper vertices of the rectangles are defined by the following function;
Calculation:
Draw the following graph.
First find the length and breadth of the rectangle.
The base of the rectangle is
Suppose the length of the rectangle is
Therefore the upper vertices will be
The upper vertices are defined by the function;
Therefore the length of the rectangle is
Area of a rectangle with length l and breadth b is given as follows:
Therefore area of the rectangle is
(b)
To find the area of rectangle.
(b)

Answer to Problem 35PPE
Explanation of Solution
Given:
The rectangles are centered on the y-axis with bases on the x-axis.
The upper vertices of the rectangles are defined by the following function;
Calculation:
Draw the following graph.
First find the length and breadth of the rectangle.
The base of the rectangle is
Suppose the breadth of the rectangle is
Therefore the upper vertices will be
The upper vertices are defined by the function;
Therefore the breadth of the rectangle is
Area of a rectangle with length l and breadth b is given as follows:
Therefore area of the rectangle is
(c)
To find the vertices of the square constructed in the same manner.
(c)

Answer to Problem 35PPE
Explanation of Solution
Given:
The rectangles are centered on the y-axis with bases on the x-axis.
The upper vertices of the rectangles are defined by the following function;
Calculation:
The square will be constructed as follows-
The following will be the
(d)
To find the area of square rounding to nearest hundredth.
(d)

Answer to Problem 35PPE
Explanation of Solution
Given:
The rectangles are centered on the y-axis with bases on the x-axis.
The upper vertices of the rectangles are defined by the following function;
Calculation:
The area of square can be found using the graph from part (c).
From part (c), the length of the side of the square is
Area of a square with side length a units is given as follows:
Therefore the area of the square is approximately
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