A scale model of a rectangular building lot measures 7 feet by 5 feet. If the actual house will be built using a scale factor of 12, what is the area of the actual building lot?
35 square feet
420 square feet
840 square feet
5,040 square feet
Area = 7*12 * 5*12 = 5,040 Ft^2
Yeah thats right thanks @Henry
To find the area of the actual building lot, we need to multiply the dimensions of the scale model by the square of the scale factor.
The scale factor is 12, so we need to multiply the length and width of the scale model by 12.
Length of the actual building lot = 7 ft * 12 = 84 ft
Width of the actual building lot = 5 ft * 12 = 60 ft
To find the area, we multiply the length and width:
Area of the actual building lot = 84 ft * 60 ft = 5,040 square feet
Therefore, the area of the actual building lot is 5,040 square feet.
To find the area of the actual building lot, we need to multiply the area of the scale model by the square of the scale factor.
First, find the area of the scale model by multiplying the length (7 feet) by the width (5 feet):
Area of the scale model = 7 feet * 5 feet = 35 square feet
Next, calculate the square of the scale factor (12):
Scale factor squared = 12 * 12 = 144
Finally, multiply the area of the scale model by the scale factor squared to find the area of the actual building lot:
Area of actual building lot = 35 square feet * 144 = 5,040 square feet.
Therefore, the correct answer is 5,040 square feet.