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Answer:
58 square feet
Step-by-step explanation:
The room is already broken down into two smaller rectangles.
The smaller of the two measures 4 ft by 2 ft. [tex]A=lw[/tex], so substitute 4 for [tex]l[/tex] and 2 for [tex]w[/tex].
[tex]A[/tex](smaller rectangle) [tex]=(4)(2)[/tex], or [tex](4*2)[/tex].
[tex]A[/tex](smaller rectangle) [tex]=8[/tex]
The larger measures 10 ft by 5 ft, so using the same method, multiply [tex]l[/tex] times [tex]w[/tex].
[tex]A[/tex](larger rectangle) [tex]=(10)(5)[/tex], or [tex](10*5)[/tex].
[tex]A[/tex](larger rectangle) [tex]=50[/tex]
Add the two rectangles' areas together to find the total area of the room.
8 + 50 = 58