Question

Need Help!

A builder is using the scale drawing shown to build a house.


If the owner decides to increase the living room dimensions by 20%, what is the new length and width of the living room floor?


A: 14.4 feet × 9.6 feet

B: 12.8 feet × 8.4 feet

C: 13.2 feet × 8.8 feet

D: 15.2 feet × 9.8 feet

Answer 1

Answer: A

Step-by-step explanation: Okay! So the first thing we notice when looking at the diagram is that the units are in centimeters. We want these in feet. They tell us that 1cm = 4ft. Now we know that the actual scale would have the length be 12 ft, and the width would be 8 ft.

Now, we look at the size they want it increased by: 20%. In order to do this, we must multiply the length and width by 0.2. Then we take THOSE values, and add them to the original.

Let's work it out.

Step 1. Multiplying values by 0.2 (20%)

Length: (12ft)(0.2)= 2.4

Width: (8ft)(0.2)= 1.6

Step 2. Now that we've found 20% of our original length and width, we must add those values to the original length and width.

Length: 12ft + 2.4ft = 14.4 ft

Width: 8ft + 1.6ft= 9.6ft

Those are your final answers! Hope that helps :)