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A rectangular light-switch plate is made according to the following dimensions. The length is 7 inches, and the width is 5.5 inches; a rectangular hole measuring 1.2 inches by 0.3 inches is left in the center. (See diagram below) (a) How many square inches in area is the light-switch plate (the shaded region)? (b) If the cost to construct the plate is $4.27 per square inch, what is the construction cost?
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\n" ); document.write( "The area is:
\n" ); document.write( "\"area border by outside edge of plate\" MINUS \"area of hole\"
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\n" ); document.write( "Let's look at each:
\n" ); document.write( "\"area border by outside edge of plate\"
\n" ); document.write( "From: \"The length is 7 inches, and the width is 5.5 inches\"
\n" ); document.write( "we get the area (length times width):
\n" ); document.write( "7*5.5 = 38.5 square inches
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\n" ); document.write( "\"area of hole\"
\n" ); document.write( "From: \"rectangular hole measuring 1.2 inches by 0.3 inches\"
\n" ); document.write( "we get the area (length times width):
\n" ); document.write( "1.2 * 0.3 = 0.36 square inches
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\n" ); document.write( "So,
\n" ); document.write( "\"area border by outside edge of plate\" MINUS \"area of hole\"
\n" ); document.write( "38.5 - 0.36 = 38.14 square inches (answer for a)
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\n" ); document.write( "For part b:
\n" ); document.write( "Since the problem stated:
\n" ); document.write( "\"$4.27 per square inch\" we get:
\n" ); document.write( "38.14 * 4.27 = $162.86 (answer for b)
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\n" ); document.write( "(Sounds like an expensive switch plate to me)
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