Michael is designing a new home for a customer. the floor of room b is in the shape of a regular hexagon and will have a perimeter of 72 feet. the floor of room a is in the shape of a square and will be sharing a wall with room b as shown. how many square feet of carpet will michael need to cover the floor of room a?

Regular hexaganol has six sides. since the perimeter of it is 72, we need to divide it to 6 to get the length of the one side which is attached to room A. 72:6=12 One side of a Hexaganol is 12, and it is attached to room A, which is quadratic. so it has equal sides, which is 12. to know the square feet of carpet to cover the floor of Room A you need to: s=a2=12*12=144

Room A will take 144 square feet of carpet because because the perimeter of room b is 72 and is in the shape of a hexagon. Since room A will be sharing 1/6 of the wall of room A (12 feet), so 12 feet will equal one side of the room and to find the area of a square you need to multiply one sides length/width by itself in this case 12x12 which equals 144 square feet