Concept explainers
(a)
To calculate: The expression that represent the cost of the carpet.
(a)
Answer to Problem 36PT
The expression for the total cost of the carper is
Explanation of Solution
Given Information:
Width of the room is
Cost of the carpet per square foot is
Formula Used:
Area of a rectangle is:
The distributive formula is:
Calculation:
It is given that the length of the room is three times the width of the room.
Find the length of the room.
On the right hand side use distributive formula
Thus, length of the room is
Find the area of the room. Use the formula
Find the multiplication of the expression
Use distributive formula
Use again distributiveformula
Use multiplication on the right hand side and simplify.
Thus, the total area of the room is
Since the cost of the carpet per square foot is
Thus, find the expression for the total cost of the carpet.
Use distributiveformula
Hence, the expression for the total cost of the carper is
(b)
To calculate: The cost value of the carpet when
(b)
Answer to Problem 36PT
The required cost is
Explanation of Solution
Given Information:
Total cost of the carpet is
Value of
Calculation:
The given total cost of the carpet is
Find the total cost when
Substitute 5 for
Hence, the required cost is
Chapter 14 Solutions
Pre-Algebra Student Edition
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