Answer: Casey should buy 48 square yards of carpet
Step-by-step explanation: If Casey's room has two sections, which are a square section and a rectangular section, we shall calculate the total area of each section separately to start with. The square section has sides measuring 4 yards each, then the area of that section can be calculated as;
Area = 4 x 4 (all sides of a square are equal in length)
Area = 16 square yards.
Also the rectangular section has the same width as the square section, that is, 4 yards. The rectangular section has twice the length of the square section, that is, twice of 4 yards which is 8 yards. Hence the area of the rectangular section is calculated as;
Area = 4 x 8
Area = 32 square yards
Therefore, the total measurement of carpet in square yards for her room shall be area of both sections added together.
Total area = 16 square yards + 32 square yards
Total area = 48 square yards