Video: Finding the Difference between the Areas of a Square and Rectangle given Their Dimensions

A rectangular carpet measuring 4 m by 3 m is placed in a square room of length 9 m. What area of the floor is not covered by the carpet?

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Video Transcript

A rectangular carpet measuring four meters by three meters is placed in a square room of length nine meters. What area of the floor is not covered by the carpet?

We can begin this question by drawing a diagram. We are told that the room is square and is of length nine meters. A rectangular carpet with dimensions four meters and three meters is placed in the room. We need to calculate the area of the floor that is not covered by the carpet. The area of any rectangle can be calculated by multiplying its length by its width. In the case of a square, as the length and width are equal, we can just square the length.

The area of the room is therefore equal to nine squared. As the units for the dimensions were meters, the area of the room is 81 square meters. The area of the carpet can be calculated by multiplying four by three. This is equal to 12. So, the area of the carpet is 12 square meters. We can now calculate the area not covered by the carpet by subtracting 12 from 81. This is equal to 69. The area of the floor that is not covered by the carpet is 69 square meters.

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