Solution:
Michael wants to put new hardwood floors in his kitchen and dining room areas.
Given;
The side lengths of the kitchen and dining room are as follows
[tex]\begin{gathered} For\text{ the kitchen;} \\ l=11\text{ ft} \\ w=\text{ 10 ft} \\ For\text{ the dining;} \\ l=15\text{ ft} \\ w=12\text{ ft} \end{gathered}[/tex]To find the area, A, of the rooms, we will apply the formula to find the area, A, of a rectangle
The formula is
[tex]A=lw[/tex]For the area of the kitchen
[tex]A=lw=11\times10=110\text{ ft}^2[/tex]For the area of the dining
[tex]A=lw=15\times12=180\text{ ft}^2[/tex]The square feet of hardwood he needs in order to cover both rooms will be
[tex]\begin{gathered} =Area\text{ of the kitchen}+Area\text{ of the dining} \\ =110+180=290\text{ ft}^2 \end{gathered}[/tex]Hence, the answer is 290 ft²