the family room in your house is 6 1/2 yards long and 5 3/4 yard wide.
carpet cost $16 per square yards. how much will it cost to buy carpet for the family room?
6.5 * 5.75 = ________ ^2 yards of carpet is needed.
11/3
To find the cost to buy carpet for the family room, we first need to calculate the area of the room.
The length of the family room is 6 1/2 yards, and the width is 5 3/4 yards.
First, let's convert the mixed numbers to improper fractions:
6 1/2 = 13/2
5 3/4 = 23/4
Now, we can multiply the length and width to find the area:
Area = (13/2) * (23/4) = (13 * 23) / (2 * 4) = 299 / 8
To convert this fraction to a mixed number, we divide the numerator by the denominator:
299 รท 8 = 37 remainder 3
So the area of the family room is 37 3/8 square yards.
Now, we can determine the cost of the carpet by multiplying the area by the cost per square yard:
Cost = Area * Cost per square yard = (37 3/8) * 16 = (37/1 + 3/8) * 16 = (37*16 + 3*16/8) = (592 + 48/8) = 592 + 6 = 598.
Therefore, it will cost $598 to buy carpet for the family room.
To find out how much it will cost to buy carpet for the family room, we need to calculate the area of the room and then multiply it by the cost of the carpet per square yard. Here's how you can do it step by step:
1. Start by finding the area of the room. To do this, multiply the length by the width. The length is 6 1/2 yards and the width is 5 3/4 yards.
6 1/2 yards * 5 3/4 yards = 37 3/4 square yards
2. Now that we have the area of the room, we can calculate the cost of the carpet. The cost is $16 per square yard.
37 3/4 square yards * $16/ square yard = $604
So, it will cost $604 to buy carpet for the family room.