An architect uses a scale of 1/4 inch to represent 1 foot on a blueprint. If the West wall of a building is 44 feet long, how long will the line be on the blue print?

since the scale is constant,

(1/4)/1 = x/44

An architect's model of a building uses a scale in which 1/2 inch equals 1 foot. If the width of the building is 87 feet, how many inches will the width be on the model?

To find the length of the line on the blueprint, you need to use the given scale of 1/4 inch to represent 1 foot. Here's how you can calculate it:

1. Determine the length of the line on the blueprint in inches:
- Start with the length of the West wall (44 feet).
- Since 1/4 inch represents 1 foot, you need to multiply the length of the West wall by the scale factor 1/4:
44 feet * (1/4 inch/1 foot) = 44 * 1/4 inch
= 11 inches

Therefore, the line representing the West wall on the blueprint will be 11 inches long.

Using the scale 1/4 inch = 1 foot, complete the following:

a. 44 feet are represented by inches.
b. one 1/4 inches represent feet.

Solution :
a. foot= 1/4 inch
44 feet = 44 x 1/4 = 11 inches.
44 feet are represented by 11 inches.