In the diagram, the rectangular floor plan of the first floor of a house is shown. The living room and the laundry room are both square. The areas of three of the rooms are shown on the diagram. The area of the kitchen, in $\mathrm{m}^{2}$, is
(A) 12
(B) 16
(C) 18
(D) 24
(E) 36

| Living  Room  $16 \mathrm{~m}^{2}$ | Dining  Room  $24 \mathrm{~m}^{2}$ |
| :---: | :---: |
| Laundry  $4 \mathrm{~m}^{2}$ | Kitchen |
In the diagram, we will refer to the horizontal dimension as the width of the room and the vertical dimension as the length of the room. Since the living room is square and has an area of $16 \mathrm{~m}^{2}$, then it has a length of $4 \mathrm{~m}$ and a width of $4 \mathrm{~m}$. Since the laundry room is square and has an area of $4 \mathrm{~m}^{2}$, then it has a length of $2 \mathrm{~m}$ and a width of $2 \mathrm{~m}$. Since the dining room has a length of $4 \mathrm{~m}$ (the same as the length of the living room) and an area of $24 \mathrm{~m}^{2}$, then it has a width of $6 \mathrm{~m}$. Thus, the entire ground floor has a width of $10 \mathrm{~m}$, and so the kitchen has a width of $8 \mathrm{~m}$ (since the width of the laundry room is $2 \mathrm{~m}$ ) and a length of $2 \mathrm{~m}$ (since the length of the laundry room is $2 \mathrm{~m}$ ), and so the kitchen has an area of $16 \mathrm{~m}^{2}$.

Answer: (B)