Question

An architect drew the blueprint for a new office building. He used a scale in which 1 inch represents 7.5 feet. The floor of an office in the building will have actual dimensions of 18 feet by 16 feet. What will the dimensions on the blueprint be?

Answer 1

We know that
scale factor=1 in/7.5 ft
scale factor=measurements   on the blueprint/measurements  in the actual
measurements on the blueprint=[measurements  in the actual*scale factor]
so

for 18 ft
measurements on the blueprint=[18 ft*(1 in/7.5 ft)-----> 2.4 in

for 16 ft
measurements on the blueprint=[16 ft*(1 in/7.5 ft)-----> 2.1 in

the dimensions on the blueprint are
2.4 in x 2.1 in