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=

Verified Answer :

Answer:

\(189\ ft^{2}\)

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

\(b=16\ ft\)

\(h=12\ ft\)

\(A=bh=16*12=192\ ft^{2}\)

Step 2

Find the area of trapezoid

\(A=(1/2)(b1+b2)h\)

\(b1=(16-12)=4\ ft\)

\(b2=2\ ft\)

\(h=(12-11)=1\ ft\)

substitute

\(A=(1/2)(b1+b2)h=(1/2)*(4+2)*1=3\ ft^{2}\)

Step 3

Find the area of a kitchen

\(192\ ft^{2}-3\ ft^{2}=189\ ft^{2}\)

Answer:

what he said

Step-by-step explanation: