
To find: the new dimension of mat on the top and bottom as well as left and right of painting.
The width of mat at top and bottom of painting is
The length of mat at left and right of painting is
Given:
A painting of rectangular shape measures 25 inches by 21 inches and area of mat is 714 square inches.
Concept Used:
Factoring method to find the roots of the
Area of rectangle
Calculation:
From the figure:
Length of mat and painting
Width of mat and painting
Given
Here, Applying the area of rectangle formula,
Solving this equation:
Applying the factoring method of quadratic equation:
Using Zero Product property:
So,
Here, Neglecting the value of
The width of mat at top and bottom of painting is
The length of mat at left and right of painting is
Conclusion:
The width of mat at top and bottom of painting is
The length of mat at left and right of painting is
Chapter 1 Solutions
Mcdougal Littell Algebra 2: Student Edition (c) 2004 2004
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