Answer:
[tex]189\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The area of a kitchen is equal to the area of rectangle minus the area of trapezoid
so
Step 1
Find the area of rectangle
[tex]b=16\ ft[/tex]
[tex]h=12\ ft[/tex]
[tex]A=bh=16*12=192\ ft^{2}[/tex]
Step 2
Find the area of trapezoid
[tex]A=(1/2)(b1+b2)h[/tex]
[tex]b1=(16-12)=4\ ft[/tex]
[tex]b2=2\ ft[/tex]
[tex]h=(12-11)=1\ ft[/tex]
substitute
[tex]A=(1/2)(b1+b2)h=(1/2)*(4+2)*1=3\ ft^{2}[/tex]
Step 3
Find the area of a kitchen
[tex]192\ ft^{2}-3\ ft^{2}=189\ ft^{2}[/tex]
