the blueprints for a new house is scaled so that 1/4 inch is equal to 1 foot. The blueprints are the preimage and the house is the diliated image.
the scale factor in terms of inches to inches
the scale factor is 48
one inch on the blueprints represents how many inches in the actual house?How many feet?
one inch in the blueprints represents__________inches, or ___________feet,in the house
1/4 in = 1 ft = 12 in
scale factors
.25 in / ft
and
.25 in / 12 in which as you said is 1/48
so
1 in * (1 ft/.25 in) = 4 ft
1 in * (12 in / .25 in) = 48 in
If the scale factor is 48, it means that one inch on the blueprints represents 48 inches in the actual house.
Converting 48 inches to feet, we divide by 12 since there are 12 inches in a foot.
So, one inch in the blueprints represents 48 inches, or 4 feet, in the house.
To determine how many inches in the actual house, we need to use the scale factor. The given scale factor is 48, which means that one inch on the blueprints represents 48 inches in the actual house.
To convert inches to feet, we divide the number of inches by 12 since there are 12 inches in a foot. Therefore, one inch on the blueprints represents 48/12 = 4 inches.
Thus, one inch in the blueprints represents 4 inches, or 4/12 = 1/3 feet, in the actual house.