A rectangular table is 84 long and 48 wide. Amanda would like to use sealant to cover the table top. The coverage of each bottle of sealant is measured in square feet.
(a) Find the area of the table top in square feet.
Use the table of conversion facts, as needed.
(b) Amanda wants to cover the table top with sealant. She doesn't have any to begin with and she can't buy partial bottles of sealant. Each bottle of sealant covers . How many whole bottles of sealant will she need to buy in order to completely cover the table top?
(c) If each bottle of sealant costs , how much will Amanda need to spend on sealant?
(a) To find the area of the table top, we multiply the length and width of the table:
Area = length * width = 84 * 48 = 4032 square feet.
(b) The coverage of each bottle of sealant is given as a fraction of square feet. Since we want to completely cover the table top, we divide the area of the table top by the coverage of each bottle of sealant:
Number of bottles = Area / Coverage = 4032 / 0.5 = 8064.
Since Amanda cannot buy partial bottles of sealant, she will need to buy 8064 whole bottles.
(c) Each bottle of sealant costs , so Amanda will need to spend:
Total cost = Number of bottles * Cost per bottle = 8064 * = .
Therefore, she will need to spend on sealant.
(a) To find the area of the table top in square feet, we can use the formula for the area of a rectangle:
Area = Length x Width
Given that the length of the table is 84 feet and the width is 48 feet, the area of the table top can be calculated as:
Area = 84 ft x 48 ft = 4,032 square feet
Therefore, the area of the table top is 4,032 square feet.
(b) To find the number of whole bottles of sealant Amanda will need to buy, we can divide the area of the table top by the coverage of each bottle of sealant. Given that each bottle covers 9 square feet, the number of bottles required can be calculated as:
Number of bottles = Area of table top / Coverage of each bottle
Number of bottles = 4,032 sq ft / 9 sq ft = 448
Therefore, Amanda will need to buy 448 whole bottles of sealant to completely cover the table top.
(c) To find out how much Amanda will need to spend on sealant, we need to multiply the number of bottles required by the cost of each bottle. Given that each bottle costs $6, the total cost can be calculated as:
Total cost = Number of bottles x Cost per bottle
Total cost = 448 bottles x $6/bottle = $2,688
Therefore, Amanda will need to spend $2,688 on sealant.
(a) To find the area of the rectangular table top, you need to multiply its length by its width. The formula for calculating the area of a rectangle is:
Area = Length * Width
In this case, the length of the table is 84 inches and the width is 48 inches. However, it's important to convert the measurements to the same unit before multiplying. Let's convert the measurements to feet since the coverage of the sealant is measured in square feet.
There are 12 inches in 1 foot, so the length of the table in feet is 84 / 12 = 7 feet.
Similarly, the width of the table in feet is 48 / 12 = 4 feet.
Now we can calculate the area:
Area = Length * Width
= 7 feet * 4 feet
= 28 square feet
Therefore, the area of the table top is 28 square feet.
(b) To determine the number of whole bottles of sealant needed to cover the table top, we need to divide the area of the table top by the coverage area of one bottle of sealant.
To find the coverage area of one bottle of sealant, you have mentioned that the coverage is measured in square feet, but the value is missing in your question. Please provide the coverage area of one bottle of sealant in square feet in order to proceed with the calculation.
(c) Similarly, to calculate how much Amanda will need to spend on the sealant, we need to know the cost of one bottle of sealant. Please provide the cost of one bottle of sealant in order to proceed with the calculation.