Problema Solution
An architect is designing a house. The scale on the plan is 1 inch = 6ft. If the house is to have a length of 90ft. and a width of 30ft., how long will the line representing the house's length be on the blueprint?
Answer provided by our tutors
A scale drawing uses a ratio called its scale to show the relationship between the size of the things in the drawing and their actual size.
1 inch = 6 ft
l = 90 ft
w = 30 ft
1 : 6 = l1 : 90
l1 = 90/6
l1 = 15 in
the length in the drawing will be 15 in.
1 : 6 = w1 : 30
w1 = 5 in
the width in the drawing will be 5 in.
the perimeter of the house in the drawing will be
2(w1 + l1) = 2*(5 + 15) = 40 in.