A rectangular piese of carpet is placed on the floor of a room leaving a margin 1 yd around it. The room measures 7 yd by 6 yd. Find the cost of the if 1 yd2 of it cosr $75.
(7-2)(6-2) yd^2 * $75/yd^2 = $_____
To find the cost of the carpet, we first need to calculate the area of the carpeted portion of the room.
The room measures 7 yards by 6 yards, and there is a margin of 1 yard around the carpet. To find the dimensions of the carpeted portion, we subtract twice the margin (top and bottom) from the length and twice the margin (right and left) from the width:
Length of carpet = 7 yards - (2 yards * 2) = 7 yards - 4 yards = 3 yards
Width of carpet = 6 yards - (2 yards * 2) = 6 yards - 4 yards = 2 yards
Now, we can calculate the area of the carpeted portion:
Area of carpet = Length of carpet * Width of carpet = 3 yards * 2 yards = 6 square yards
Next, we'll calculate the cost of 1 square yard of carpet:
Cost of 1 square yard = $75
Finally, we can calculate the total cost of the carpet:
Total cost = Area of carpet * Cost of 1 square yard = 6 square yards * $75 = $450
Therefore, the cost of the carpet is $450.
To find the cost of the carpet, we first need to calculate the area of the room.
The room measures 7 yards by 6 yards, so to find the area, we multiply the length by the width:
Area of the room = 7 yards * 6 yards = 42 square yards.
Next, we need to subtract the margin around the carpet from the total area of the room.
The margin is 1 yard all around the carpet, so we subtract 2 yards from the length and 2 yards from the width:
Length of the carpet = 7 yards - 2 yards = 5 yards.
Width of the carpet = 6 yards - 2 yards = 4 yards.
Now, we can calculate the area of the carpet by multiplying its length by its width:
Area of the carpet = 5 yards * 4 yards = 20 square yards.
Since the cost is given as $75 per square yard, we can find the cost of the carpet by multiplying its area by the cost per square yard:
Cost of the carpet = Area of the carpet * Cost per square yard
= 20 square yards * $75/square yard
= $1500.
Therefore, the cost of the carpet is $1500.