
Concept explainers
a.
a.

Answer to Problem 34E
Explanation of Solution
Given:
Consider the figure provided in the question:
Concept Used:
Consider the formula for the area of a
Moreover, the formula for area of a rectangle:
Calculation:
As per the figure provided in the question,
In the figure, a triangle is mounted on a rectangle.
The height of the triangle =
The base of the triangle =
The length of the rectangle =
The width of the rectangle =
Consider the formula of area of triangle:
Substitute the values of base and height in the formula as per the question,
Now, consider the formula for area of rectangle:
Substitute the values of length and width in the formula as per the question,
Total area of the figure is the sum of area of triangle and area of rectangle.
Hence,
Total area of the figure in terms of
Conclusion:
Total area of the figure in terms of
b.
The value of x.
b.

Answer to Problem 34E
Explanation of Solution
Given:
Consider, Total area of the figure =
Calculation:
As per the given problem
In terms of
Given, total area =
Equate the two values of the area,
Dividing both sides of the equation by
Therefore,
Hence,
Conclusion:
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