
Concept explainers
a.
To find : the area of the wall.
a.

Answer to Problem 21E
The area of the wall is 98716 square feet.
Explanation of Solution
Given information :
The length of the wall is 834 feet and the height of the wall is 1114 feet.
Calculation :
Since, the length and height of the wall is provided. Therefore,
Area of the wall=Lenght of the wall⋅Height of the wall
Substitute the provided values in above equation and solve:
Area of the wall=834⋅1114 (Substitute)Area of the wall=354⋅454 (Write number as improper fraction)Area of the wall=35⋅454⋅4 (Use rule for multiplying fractions)Area of the wall=157516 (Multiply)Area of the wall=98716 (Write fraction as mixed fraction)
Thus,
The area of the wall is 98716 square feet.
b.
To explain : whether there is enough paint available if two coats of paints is applied.
b.

Answer to Problem 21E
The paint is enough to apply two coats.
Explanation of Solution
Given information :
The can of paint will cover 200 square feet with one coat.
To apply two coats of paint the area covered will be two times the area of the wall.
Therefore,
Area of the wall covered in two coats=2⋅Area of the wallArea of the wall covered in two coats=2⋅157516Area of the wall covered in two coats=19678 sqaure feet
Since, the paint in the can will cover 200 square feet which is greater than 19678 sqaure feet . Thus, the paint is enough to apply two coats of paints.
The paint is enough to apply two coats.
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