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On an architect's drawing of the floor plan for a house, 1 inch represents 3 feet if a room is represented on the floor plan by a rectangle that has sides of length 3.5 inches and 5 inches, what is the actual floor area of the room in square feet?

Respuesta :

3.5×3=10.5 ft
5×3=15
15×10.5=157.5 square feet

The actual floor area of the room in square feet is 157.5 square feet a room is represented on the floor plan by a rectangle that has sides of length 3.5 inches and 5 inches.

What is a rectangle?

It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that:

On an architect's drawing of the floor plan for a house, 1 inch represents 3 feet.

If a room is represented on the floor plan by a rectangle that has sides of length 3.5 inches and 5 inches

As we know,

Rectangle area = length x width

length = 3.5 inches

Width = 5 inches

Rectangle area = 3.5x 5

Rectangle area = 17.5 square inches

1 inch = 3 feet

1 square inch = 9 square feet

Rectangle area = 17.5×9 square feet

Rectangle area = 157.5 square feet

Thus, the actual floor area of the room in square feet is 157.5 square feet a room is represented on the floor plan by a rectangle that has sides of length 3.5 inches and 5 inches.

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