Carlos is tiling a kitchen cluster that is 12 feed by 3 feed. The counter has a rectangular hole 3 feet by 2 feet cut in ir for a sink. What is the área Of the counter that Carlos Wall tile

The area of the counter that Carlos will wall tile is

Step-by-step explanation:

to solve this, we will calculate the area of the counter and the area of the rectangular hole that Carlos would have to leave out for the sink, and then subtract them to get the area that will be tiled.

Total area of the rectangular counter = length X breadth =

area of the rectangular cut out for the sink = length X breadth =

Surface area that Carlos is meant to tile =

Hence,the area of the counter that Carlos will wall tile is

a² + b²= c²

24² + 7² = c²

c= 25

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3