Concept explainers
To calculate: To graph the equation that models the area of the framed picture and then find the area of the picture if the width of picture is
Answer to Problem 3GP
Equation that models the area of the framed picture is
Area of picture frame when width is
Explanation of Solution
Given information: Mei is building a picture frame, and she wants the width to be
Formula Used:
Area of a rectangle is equal to product of length and width
Calculation:
Let the length of picture frame be
Given that width of picture frame is
Thus,
Picture frame is in a shape of rectangle.
Let the are of picture frame be
Thus, equation that models the area of the framed picture is given as
On solving the above equation,
In order to find the area of picture frame when width of picture frame is
Thus, length is calculated as
Substituting the values to calculate the length as below:
Thus, area when width is
Conclusion:
Hence, equation that models the area of the framed picture is
Area of picture frame when width is
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