SOLUTION: 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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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       Log On


   



Question 170647: 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. 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?
I used formula A=LW
(17in)(5.5in)=93.5 shaded part
(1.2in)(0.3in)= .36in
From there I don't know what to do?

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
Total square inches of the area would be
:
7 (5.5)=38.5 sq in
:
but we must subtract out the middle portion of 1.2 inches by .3 inches in order to get the light switch area.
:
1.2 (.3)=.36sq in
:
38.5-.36=38.14 sq in. at a cost of $4.27 a sq in would be
:
38.14 (4.27)=$ 162.29