Trace needs a new carpet for her house the living are is an open floor plan of a dining room 6 feet c 4 feet sitting area 10 feet x 15 feet and a breakfasg nook 5 feet x 5 feet how many square feet of carpet does she need

Respuesta :

Answer:

199 square feet

Step-by-step explanation:

Given:

Trace needs a new carpet for her house.

Dimension of dining room = 6 feet by 4 feet.

Dimension of sitting area = 10 feet by 15 feet.

Dimension of breakfast nook = 5 feet by 5 feet.

Question asked:

How many square feet of carpet does she need ?

Solution:

First of all we will calculate the area of each part of the house and then add up.

[tex]Area \ of \ dining\ room=length\times width[/tex]

                                  [tex]=6\times4\\ \\ =24\ square\ feet[/tex]

[tex]Area \ of \ sitting\ part=length\times width[/tex]

                                  [tex]=15\times10\\ \\ =150\ square\ feet[/tex]

[tex]Area \ of \ breakfast\ nook=(side)^{2}[/tex]

                                       [tex]=5^{2} =25\ square\ feet[/tex]

Total carpet needed will be needed = For dining + For sitting area + For breakfast nook

                                              = 24 + 150 + 25

                                              = 199 square feet

Therefore, she needs 199 square feet of a new carpet for her house.

                                       

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