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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

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 n class=

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calculista

Answer:

The total area of the living room is [tex]600\ ft^2[/tex]

Step-by-step 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

[tex]A=\frac{1}{2}(b)( h)+LW[/tex]

we have

[tex]b=EO=6\ units[/tex] ---> base of triangle

[tex]h=2\ units[/tex] ---> height of triangle

[tex]L=EO=6\ units[/tex] ---> length of rectangle

[tex]W=OU=3\ units[/tex] --->width of rectangle

substitute the values

[tex]A=\frac{1}{2}(6)(2)+(6)(3)[/tex]

[tex]A=6+18=24\ units^2[/tex]

Remember that

Each unit on the coordinate  plane represents 5 feet

so

[tex]1\ unit^2=25\ ft^2[/tex]

therefore

The total area of the living room is

[tex]24(25)=600\ ft^2[/tex]

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