a carpet for a small room measuring 4 ft by 7.5 ft cost $120 how much would it cost for a carpet (with the same price per square foot) for a bigger room that measures twice as long and three times as wide
cost per square foot = 120/30 = $4.00 per square foot
twice 7.5 = 15
three times 4 = 12
new area = 15(12) = 180
cost = 180(4) = $720
To find the cost of a carpet for a bigger room, we first need to calculate the area of the bigger room.
The original room measures 4 ft by 7.5 ft, so its area is:
Area = Length × Width
Area = 4 ft × 7.5 ft
Area = 30 square feet
Now, we need to determine how much bigger the new room is. It is twice as long and three times as wide compared to the original room. Therefore, the dimensions of the new room are:
Length = 2 × 4 ft = 8 ft
Width = 3 × 7.5 ft = 22.5 ft
To find the area of the new room, we multiply the length by the width:
Area = Length × Width
Area = 8 ft × 22.5 ft
Area = 180 square feet
Since the price per square foot remains the same, we can find the cost of the carpet for the bigger room by multiplying the area by the cost per square foot.
Cost = Area × Price per square foot
Cost = 180 square feet × $120 / 30 square feet
Cost = 4 × $120
Cost = $480
Therefore, the cost for a carpet with the same price per square foot for a bigger room that measures twice as long and three times as wide would be $480.