document.write( "Question 198672: 1. A rectangular light-switch plate is made according to the following dimensions. The length is 8 inches, and the width is 6 inches; a rectangular hole measuring 1 inch by 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 $3.50 per square inch, what is the construction cost? \n" ); document.write( "
Algebra.Com's Answer #149177 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! A rectangular light-switch plate is made according to the following dimensions. The length is 8 inches, and the width is 6 inches; a rectangular hole measuring 1 inch by 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 $3.50 per square inch, what is the construction cost? \n" ); document.write( ". \n" ); document.write( "a) \n" ); document.write( "\"area of light-switch plate\" = \"area of plate\" - \"rectangular hole\" \n" ); document.write( "\"area of light-switch plate\" = (8)(6) - (1)(3) \n" ); document.write( "\"area of light-switch plate\" = 48 - 3 \n" ); document.write( "\"area of light-switch plate\" = 45 square inches \n" ); document.write( ". \n" ); document.write( "b) \n" ); document.write( "cost = 45*3.50 = $157.50 \n" ); document.write( " \n" ); document.write( " |