Concept explainers
Solve each equation for the given variable.
A room with width
a. Write a formula for the area that needs to be painted not accounting for doors or windows.
b. Rewrite the formula to find
c. If
d. Reasoning Suppose
Write a formula for
a.
To find: A formula for the area that needs to be painted not accounting for doors or windows.
Answer to Problem 28P
Explanation of Solution
Given information: A room with width w , length l , and height h with four walls needs to be painted.
Calculation:
Area of each wall with length l and height h
Area of each wall with width w and height h
Then, area of four walls is given by,
Thus, the formula is
b.
To find: The formula of h in terms of A, l, and w .
Answer to Problem 28P
Explanation of Solution
Given information: A room with width w , length l , and height h with four walls needs to be painted.
Calculation:
c.
To find: The height of the room.
Answer to Problem 28P
The height of the room is 8 ft.
Explanation of Solution
Given information: Suppose l is 18 ft, w is 14 ft and A is 512 ft2.
Calculation:
Thus, the height is 8 ft.
d.
To find: A formula for A in terms of in terms of w and h .
Answer to Problem 28P
Explanation of Solution
Given information: A room with width w , length l , and height h with four walls needs to be painted. Suppose l is equal to w .
Calculation:
Thus, the formula is
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