Question

Samuel is looking at the floor plan of his house to determine how much carpet he needs to buy for his basement. Based on the floor plan of his basement, how can he decompose the measurements into expressions find the area? A) First, find two areas using (4m + 10m = 14m2) and (8m + 3m = 11m2). Next, add (14m2 + 11m2 = 25m2). B) First, find two areas using (4m x 10m = 40m2) and (8m x 3m = 24m2). Next, add (40m2 + 24m2 = 64m2). C) First, find two areas using (4m x 10m = 40m2) and (8m x 3m = 24m2). Next, subtract (40m2 - 24m2 = 16m2). D) First, add all the labeled sides using (4m + 10m + 12m + 3m = 29m2). Next, add the remaining sides (8m + 7m = 15m2).

Answer 1

Answer:

B) First, find two areas using (4m x 10m = 40m2) and (8m x 3m = 24m2). Next, add (40m2 + 24m2 = 64m2).

Step-by-step explanation:

Samuel should is looking to find the area of his basement in order to cover it with carpet.

An area is calculated by multiplying two dimensions (so answers A and D are not it).

Best solution is to divide the area into two large rectangles then ADD them together to get the total area.

The only scenario where he could have subtracted something based on his plan is if he would have multiplied the 10m by the 12m then subtracted the area that is not part of his basement (7mx8m).  He would have achieved the same result of course, but by going a different way.