To determine the area of Mrs. Robertson's rectangular living room, we need to use the formula for the area of a rectangle, which is:
[tex]\[ \text{Area} = \text{width} \times \text{length} \][/tex]
Here, the width of the room is given as 10 feet and the length is given as 15 feet.
[tex]\[ \text{width} = 10 \text{ feet} \][/tex]
[tex]\[ \text{length} = 15 \text{ feet} \][/tex]
Substituting the given values into the area formula:
[tex]\[ \text{Area} = 10 \text{ feet} \times 15 \text{ feet} \][/tex]
Performing the multiplication:
[tex]\[ \text{Area} = 150 \text{ square feet} \][/tex]
Therefore, the area that Mrs. Robertson needs to carpet is:
[tex]\[ 150 \text{ square feet} \][/tex]
So, the correct answer is [tex]$150 \text{ ft}^2$[/tex].
