Mary wants to make curtains for the three windows in her living room.For each pair of curtains,she needs material measuring 6ft by 8ft.Altogether how many square yards of material does she need?
First change feet to yards.
3 feet = 1 yard
6 feet = 2 yards
8 feet = 2 2/3 yards
2 * 8/3 = 16/3 = 5 1/3 yards for each window
Each window needs 1 pair of curtains.
5 1/3 * 2 * 3 = ?
is it 84
or is it 30 1/3
6 * 5 1/3 = 6 * 16/3 = 96/3 = 32 square yards
so its 32 square yards
To determine the total square yards of material Mary needs, we need to calculate the area of each pair of curtains and then multiply it by 3 (since there are three windows).
Each pair of curtains requires material measuring 6ft by 8ft, so the area of each pair of curtains is:
Area = length x width = 6ft x 8ft = 48 square feet
Now, we need to convert the area from square feet to square yards, since we want the answer in terms of square yards. Since there are 9 square feet in a square yard, we divide the area in square feet by 9 to obtain the area in square yards:
Area in square yards = 48 square feet / 9 = 5.33 square yards (rounded to two decimal places)
Finally, to find the total amount of material Mary needs, we multiply the area of each pair of curtains by the number of pairs:
Total material needed = Area in square yards x Number of pairs = 5.33 square yards x 3 = 15.99 square yards (rounded to two decimal places)
Therefore, Mary needs approximately 15.99 square yards of material for the three windows in her living room.