Dana buys a piece of carpet that measures 20 square yards. Will she be able to completely cover a rectangular floor that measures 12 ft 6 in. by 16 ft 6 in.?
1 yard = 3 feet
12 ft., 6 in. = 4.166667 yards
16 ft., 6 in. = 5.5 yards
4.1666 * 5.5 = 22.92 yards
Thanks.
You're welcome.
To determine whether Dana will be able to completely cover the rectangular floor with the carpet, we need to convert the measurements to a common unit.
First, let's convert the measurements of the rectangular floor to yards. Since 1 yard is equal to 3 feet, we divide the measurements by 3 to convert them to yards:
Length = 12 ft 6 in. = 12 + (6 / 12) = 12.5 ft = 12.5 / 3 = 4.17 yards (rounded to 2 decimal places)
Width = 16 ft 6 in. = 16 + (6 / 12) = 16.5 ft = 16.5 / 3 = 5.5 yards
Now, we can calculate the area of the rectangular floor:
Area = Length x Width = 4.17 yards x 5.5 yards = 22.84 square yards (rounded to 2 decimal places)
The area of the carpet Dana purchased is 20 square yards. Since the area of the floor (22.84 square yards) is greater than the area of the carpet (20 square yards), she will be able to completely cover the floor.