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The floor plan of a kitchen is shown at the right. If the entire kitchen floor is to be tiled, how many square feet of tile are needed?
66 POINTS!!!!!

The floor plan of a kitchen is shown at the right If the entire kitchen floor is to be tiled how many square feet of tile are needed 66 POINTS class=

Respuesta :

calculista

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]

li7316230

Answer:

what he said

Step-by-step explanation:

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