Answer: Casey should buy 48 square yards of carpet
Step-by-step explanation: With two measurements to be determined, the first is a square and the other is a rectangle we would need the dimensions for both.
If one side of the square section is 4 yards, that means the other side is also 4 yards (all sides of a square are equal). The area for the square section would be calculated as,
Area = L x W
Area = 4 x 4
Area = 16 square yards
In the rectangular section, the width measures 4 yards since we have been told that it measures the same as the square section. Also the length is twice it’s width, that means the length of the rectangular section is 4 times 2 which is 8 yards. The area of the rectangular section can be calculated as,
Area = L x W
Area = 8 x 4
Area = 32 square yards
Therefore the total size of carpet needed for her room would be
Total area = 32 + 16
Total area = 48 square yards