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
Mathematics · Middle School · Tue Nov 03 2020
Answered on
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