Question

the area of a floor is 120 square feet. the length of the floor is 12 feet. what dimensions could represent a scale drawing of the floor?
6 by 5 cm
5 by 5 cm
6 by 6 cm
12 by 10 feet

Explanation:

Step1: Find the width of the actual floor

We know that area \(A = l\times w\), where \(A = 120\) square - feet and \(l = 12\) feet. So, \(w=\frac{A}{l}=\frac{120}{12}=10\) feet.

Step2: Analyze the scale - drawing dimensions

The ratio of length to width of the actual floor is \(12:10 = 6:5\).
For a scale - drawing, the ratio of its dimensions should be the same as the ratio of the actual floor's dimensions.
The ratio of the dimensions in the option "6 by 5 cm" is \(6:5\).

Answer:

A. 6 by 5 cm