The community center wants to separate the basement of their activity hall into two rooms. What room will be used for storage and the other will have space for table tennis. The entire basement is a rectangle with a length of 48 feet and the width of 12 feet. The storage room must have an area of 144 feet. What is the perimeter and area of the table tennis room?
First, we need to find the dimensions of the storage room. Since the area of the storage room is 144 square feet and the length of the basement is 48 feet, we can find the width of the storage room by dividing the area by the length.
Width of storage room = Area of storage room / Length of basement
Width of storage room = 144 ft / 48 ft
Width of storage room = 3 ft
So, the dimensions of the storage room are 48 ft by 3 ft.
Next, we can find the area and perimeter of the table tennis room by subtracting the area and length of the storage room from the total area and length of the basement.
Area of table tennis room = Total area - Area of storage room
Area of table tennis room = 48 ft * 12 ft - 144 ft
Area of table tennis room = 576 ft - 144 ft
Area of table tennis room = 432 ft
Perimeter of table tennis room = 2(length + width)
Perimeter of table tennis room = 2(48 ft + 12 ft)
Perimeter of table tennis room = 2(60 ft)
Perimeter of table tennis room = 120 ft
Therefore, the area of the table tennis room is 432 square feet and the perimeter is 120 feet.