Question

Noelle's rectangular decl has a length of 18 feet and a width of 16 feet. If a hot tub takes up a square that is 4 feet on each side in the middle of the deck, how much area is left of the deck?

Answer 1

The answer to the question is 272

Answer 2

Step 1

Find the area of Noelle's rectangular decl

we know that

the area of a rectangle is equal to

`A=L*W`

where

L is the length side of the rectangle

W is the with side of the rectangle

we have

`L=18\ ft \\W=16\ ft`

substitute

`A=18*16=288\ ft^(2)`

Step 2

Find the area of a hot tub

we know that

the area of a square is equal to

`A=b^(2)`

where

b is the length side of the square

we have

`b=4\ ft`

substitute

`A=4^(2)=16\ ft^(2)`

Step 3

Find the difference of the areas

`288\ ft^(2)-16\ ft^(2)=272\ ft^(2)`

therefore

the answer is

`272\ ft^(2)`