(05.01)A scale drawing of a living room is shown below:
A rectangle is shown. The length of the rectangle is labeled 3 inches. The width of the rectangle is labeled 5.5 inches. The scale is 1 to 30.
What is the area of the actual living room in square feet? Round your answer to the nearest whole number.
No drawing.
Area = length * Width
Area = (3*30)(5*30) = ?
I need help
13,500
the area would be 240?
To find the area of the actual living room in square feet, we need to first determine the dimensions of the rectangle in actual size.
Given that the scale is 1 to 30, this means that 1 inch on the scale drawing represents 30 inches in the actual living room.
To find the length of the actual living room, we can multiply the length of the rectangle on the scale drawing (3 inches) by the scale factor of 30:
Length = 3 inches * 30 inches/inch = 90 inches
Similarly, we can find the width of the actual living room by multiplying the width of the rectangle on the scale drawing (5.5 inches) by the scale factor of 30:
Width = 5.5 inches * 30 inches/inch = 165 inches
Now that we have the dimensions in inches, we can convert them to feet by dividing by 12 (since there are 12 inches in a foot):
Length = 90 inches / 12 inches/foot = 7.5 feet
Width = 165 inches / 12 inches/foot = 13.75 feet
Finally, we can find the area of the living room by multiplying the length and width:
Area = Length * Width = 7.5 feet * 13.75 feet ≈ 103.1 square feet
Rounding to the nearest whole number, the area of the actual living room is approximately 103 square feet.