A bedroom wall is to be painted around a window as shown below. What is the area of the wall that will be painted? 6 ft 104 ft2 110 ft2 116 ft2
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Answer:
Second option: 104 ft²
Step-by-step explanation:
The wall and the window are rectangles.
The formula used to calculate the area of a rectangle is:
[tex]A=l*w[/tex]
Where "l" is the length and "w" is the width.
Let be [tex]A_t[/tex] the area of the entire wall (including the window), [tex]A_1[/tex] the area of the wall that will be painted and [tex]A_2[/tex] the area of the window.
The area of the wall that will be painted can be calculated by subtracting [tex]A_t[/tex] and [tex]A_2[/tex].
Then you get:
[tex]A_1=A_t-A_2[/tex]
[tex]A_1=(l_t*w_t)-(l_2*w_2)\\\\A_1=(11ft)(10ft)-(3ft)(2ft)\\\\A_1=104ft^2[/tex]