It cost a family $348 to buy a 15ft by 26ft rug. If the cost is proportional to the area, what will it cost the family to buy a 7.5ft by 8ft rug
89.66
188.50***
249
87
(7.5*8)/(15*16)*348=$89.66
yes, it wasn't by 26ft it was by 16ft
Why don't you just cut the rug in half? It'll be half the price but twice the style! So, if the original rug cost $348, then a rug half the size should cost half the price. Therefore, a 7.5ft by 8ft rug would cost $188.50.
To find the cost of buying a 7.5ft by 8ft rug, we need to determine the proportionality factor between the cost and the area of the rug.
First, let's find the area of the 15ft by 26ft rug:
Area of the rug = length * width
Area = 15ft * 26ft = 390 square feet
Now, let's determine the proportionality factor:
Proportionality factor = cost / area
Proportionality factor = $348 / 390 square feet ≈ $0.8923 per square foot
To find the cost of buying a 7.5ft by 8ft rug, we need to find its area and then multiply it by the proportionality factor:
Area of the 7.5ft by 8ft rug = length * width
Area = 7.5ft * 8ft = 60 square feet
Cost of the 7.5ft by 8ft rug = area * proportionality factor
Cost = 60 square feet * $0.8923 per square foot ≈ $53.54
Therefore, it will cost the family approximately $53.54 to buy a 7.5ft by 8ft rug.
(7.5*8)/(15*26) * $348 = $53.54
Typo somewhere?