Suppose you want to purchase a new rug. You want it to measure 2.8 meters for length and 4.7 meters for width. The rug you wish to purchase is priced at $32.95 per square yard. Binding is included at no extra cost. What is the price of this rug?You will need to know that 1 yard = 0.9144 meters. Be careful not to round until your final answer.(Round your answer to the nearest cent, which means to the hundredth place, which is two places after the decimal. Don't include the dollar sign.)
Question
Suppose you want to purchase a new rug. You want it to measure 2.8 meters for length and 4.7 meters for width. The rug you wish to purchase is priced at $32.95 per square yard. Binding is included at no extra cost. What is the price of this rug?You will need to know that 1 yard = 0.9144 meters. Be careful not to round until your final answer.(Round your answer to the nearest cent, which means to the hundredth place, which is two places after the decimal. Don't include the dollar sign.)
Solution
First, we need to convert the dimensions of the rug from meters to yards, since the price is given per square yard.
1 yard = 0.9144 meters
So,
Length in yards = 2.8 meters / 0.9144 = approximately 3.06 yards Width in yards = 4.7 meters / 0.9144 = approximately 5.14 yards
Next, we calculate the area of the rug in square yards by multiplying the length and the width.
Area = Length x Width = 3.06 yards x 5.14 yards = approximately 15.73 square yards
Finally, we multiply the area by the price per square yard to find the total cost of the rug.
Cost = Area x Price = 15.73 square yards x 518.24
So, the price of the rug is approximately $518.24.
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