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Maths-

General

Easy

Question

A room is of dimensions 6x feet in length and 4y feet in breadth. A table measuring
2x feet in length and y feet in breadth is in the corner of the room. Find the area of the
room not occupied by the table.

hint Hint:

The concept used in the question is area of rectangle.
○ The area of the rectangle is the product of sides.

The correct answer is: Hence, the area of the room not occupied by a table is 22xy sq. feet.

Answer:
Step-by-step explanation:
○ Given:
Dimension of room: length = 6x feet , breadth = 4y feet
Dimension of table: length = 2x feet , breadth = y feet
○ Step 1:
We know, that the area of a rectangle is the product of its sides
i.e area = side side
So,
Area of room = (6x) × (4y)
Area of room = 24xy sq. feet

Area of table = (2x) × (y)
Area of table = 2xy sq. feet
○ Step 2:
Area of remaining room = area of room - area of table
Area of remaining room = 24xy - 2xy
Area of remaining room = 22xy sq. feet

Final Answer:

Hence, the area of the room not occupied by a table is 22xy sq. feet.

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