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

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

you are saying it as if a fact, not a question, but yes, you would be correct? ; )

step-by-step explanation:

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.