Question

architect made a model of a triangular office building using a scale of 1.5 inches equals 5 meters if the height of the model is 9 inches and the area of the actual building is 75 square meters what is the base of the actual
building

Answer 1

scale = 1.5" : 5m

scale height, sh = 9"

actual height, ah = (9/1.5) × 5 = 30m

actual area, aa = 75m^2

actual base, ab = 2aa/ah = 2×75/30 = 5

scale base, sb = 5/5 × 1.5 = 1.5"