Question

Dallas is putting down hardwood floors in his home. His

living room is pentagonal. Each unit on the coordinate
plane represents 5 feet. Find the area of flooring needed
in square feet.
Which of the following is the total area of the living room

Answer 1

The total area of the living room is
`600\ ft^2`

Explanation:

we know that

The total area of the living room on the coordinate plane is equal to the area of a triangle EHO plus the area of rectangle EOUS

so

`A=(1)/(2)(b)( h)+LW`

we have

`b=EO=6\ units` ---> base of triangle

`h=2\ units` ---> height of triangle

`L=EO=6\ units` ---> length of rectangle

`W=OU=3\ units` --->width of rectangle

substitute the values

`A=(1)/(2)(6)(2)+(6)(3)`

`A=6+18=24\ units^2`

Remember that

Each unit on the coordinate plane represents 5 feet

so

`1\ unit^2=25\ ft^2`

therefore

The total area of the living room is

`24(25)=600\ ft^2`