Concept explainers
Write an expression in factored form that represents the area of the flower border.
Answer to Problem 46IP
Factored form of the flower bed is
Explanation of Solution
Given:
The diagram represents a flower border that is 3 feet wide surrounding a rectangular sitting area. Write an expression in factored form that represents the area of the flower border.
Concept Used:
Area of Flower bed = Area of big Rectangle (with flower bed / orange) − Area of small Triangle (green)
Length of big rectangle with flower bed (orange) =
Length and height of Small Rectangle (without flower bed) =
To find the factor of the expression:
Step 1: find the GCF of the expression and take out the GCF from each term of the expression and write in factor form.
Example: The expression
Calculation:
Area of Flower bed = Area of big Rectangle (with flower bed / orange) − Area of small Triangle (green)
Length of big rectangle (orange) =
Area of big rectangle with flower bed =
Length and height of Small Rectangle =
Area of small rectangle without flower bed =
Area of Flower bed = Area of big Rectangle (with flower bed / orange) − Area of small Triangle (green)
Area of Flower bed =
Area of Flower bed =
Now find the factor of
Thus, factored form of the flower bed is
Chapter 7 Solutions
Glencoe Math Accelerated, Student Edition
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (2nd Edition)
Calculus: Early Transcendentals (3rd Edition)
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Calculus and Its Applications (11th Edition)
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