Casey wants to put new carpet in her bedroom. A drawing of Casey's room is below. It consists of two sections: a square and a rectangle.

The rectangular section has the same width as the square section, but twice the length. If one side of the square section measures 4 yards, how many square yards of carpet should Casey buy for her room?

A.

32 square yards

B.

18 square yards

C.

36 square yards

D.

48 square yards

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