Concept explainers
(a)
Find the length of the rectangle.
(a)
Answer to Problem 4P
Length of the rectangle is
Explanation of Solution
Given:
A square has side length 6x+2. A rectangle with width (3x+1) has the same area as the square. What is the length of the rectangle?
Concept Used:
Area of square = side multiplied with side
Area of rectangle = Length multiplied with width
Calculation:
According to the condition: Area of square = Area of Rectangle
Thus, Length of the rectangle is
(b)
Find the possible heights of the rectangle. Explain.
(b)
Answer to Problem 4P
Possible heights can be 16 feet, 28 feet, 40 feet, so on.
Explanation of Solution
Given:
Suppose the dimensions of the wastebaskets in problem 4 are measured in feet. Is it possible for the height of the rectangle waste basket to be 1 ft? What are the possible heights? Explain.
Concept Used:
In problem 4, we get the length or height of the rectangle is
Calculation:
Possible heights can be by substituting x = 1 , 2 , 3 , .......
Thus, possible heights can be 16 feet, 28 feet, 40 feet, so on.
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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