a.
To write:a function for the area of the basement in terms of x as per the given figure.
a.
Answer to Problem 73PPS
Explanation of Solution
Given:
Alica’s parents want their basement home theater according to the diagram shown at the right.
Calculation:
The objective is to express the area in terms of x .
Now, it is to compute the area by adding the areas of the three-rectangle having the dimensions:
Therefore,
Hence, a function for the area of the basement in terms of xis
b.
To find: the value of xif the basement is to be 1366 square ft.
b.
Answer to Problem 73PPS
Explanation of Solution
Given:
Alica’s parents want their basement home theater according to the diagram shown at the right.
Calculation:
From part (a), the equation is
Now, use the quadratic formula to find the factor:
Either
When
When
Hence, the value of x if the basement is to be 1366 square ft is
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Algebra 2
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