two squared shaped each of side 10 feet cover 2/3rd of the floor of a room. what is the total area of floor of a room?
opption
a) 20 square feet
b) 200 square feet
c) 300 square feet
d) 33 1/3 square feet
Answers
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300 square feet because 300 -- 2/3
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Given: Two squared shaped tiles each of side 10 feet cover 2/3rd of the floor of a room.
To find: Total area of floor of the room
Explanation: Let the length of each side of square shaped tiles be l.
l = 10 feet
Area of one square of side l is given by:
=
=
= square feet
Area of 2 such squares
= 2* 100 square feet
= 200 square feet
Let the area of the floor of the room be a.
According to question, 200 square feet covers only 2/3 of the room.
Therefore,
2/3 * area = 200
=> a = 200*3/2
= 600/2
= 300 square feet
Therefore, the area of the floor of the room is option (c) 300 square feet.
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