Question

Marissa is creating a scale drawing of a house. On her drawing, 1.5 cm represents 3 feet. On her scale drawing, a kitchen wall is 7.5 cm. How long will this wall be in feet?

A) 1.5 feet
B) 2 feet
C) 3 feet
D) 4 feet

Answer 1

The length of the kitchen wall in feet is 15 feet.

Step-by-step explanation:

To find the length of the kitchen wall in feet, we need to use the scale factor given. According to the scale drawing, 1.5 cm represents 3 feet. Therefore, to find the length of the wall in feet, we can set up the following proportion:

1.5 cm / 3 feet = 7.5 cm / x feet

Cross multiplying, we get:

1.5 cm * x feet = 3 feet * 7.5 cm

Simplifying the equation:

x feet = 3 feet * 7.5 cm / 1.5 cm

Dividing the numbers:

x feet = 22.5 / 1.5 = 15 feet

Therefore, the length of the kitchen wall in feet is 15 feet.