To Find: The sides of one rectangle whose area is equal to the area of the remaining part.
The sides of one rectangle whose area is equal to the area of the remaining part is
Given:
Suppose cutting the small square from a square sheet of cardboard. Find the sides of one rectangle whose area is equal to the area of the remaining part.
Explanation:
From the diagram,
Let the side of the smaller square be
And its area is
Side of cardboard is
And its area be
The difference of the area of the square piece of cardboard
Can be the equation factorable:
Since the equation is a difference of two squares, it can be factored.
By setting the area of the small square to be cut out equal to the area of the remaining part, find the
Thus,
Use quadratic formula to solve for
Substitute
Eliminate the negative values.
So,
Chapter 4 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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