The standard distance between studs in a house is 1.5 feet. If you have blueprints for the house that marks every 1.5 feet with 1 inch, how many inches long will a 45 foot wall be represented by?

45/1.5 = ?

30

To find out how many inches long a 45-foot wall will be represented by, we need to calculate the number of 1.5-foot intervals within 45 feet.

Since the standard distance between studs in a house is 1.5 feet, we can determine the number of intervals by dividing the length of the wall (in feet) by the distance between the studs (also in feet).

Number of intervals = Length of wall / Distance between studs

Number of intervals = 45 feet / 1.5 feet

Number of intervals = 30

Therefore, a 45-foot wall will be represented by 30 intervals on the blueprint.

Since each interval is represented by 1 inch on the blueprint, the length of the wall in inches on the blueprint will be:

Length on blueprint = Number of intervals * 1 inch

Length on blueprint = 30 intervals * 1 inch

Length on blueprint = 30 inches

So, a 45-foot wall will be represented by 30 inches on the blueprint.

To determine the length represented by a 45-foot wall on the blueprints, we need to consider the scale used in the blueprints.

The blueprints state that every 1.5 feet is marked by 1 inch. Therefore, we can deduce that the scale being used is 1.5 feet = 1 inch.

To find the length represented by a 45-foot wall, we need to convert the feet into inches using the scale.

Since 1.5 feet = 1 inch, we can write the proportion: 1.5 feet / 1 inch = 45 feet / x inches.

To solve for x, we can cross-multiply and divide: x inches = (1 inch * 45 feet) / (1.5 feet).

Simplifying, we have: x inches = 45 inches / 1.5, which is equal to 30 inches.

Therefore, a 45-foot wall will be represented by 30 inches on the blueprints.