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

$272\ ft^{2}$