Mr. Garcia is replacing the insulation in his attic and garage. Each roll of insulation is 1.25 feet wide and 50 feet long. The picture shows the dimensions of the attic and the garage that he needs to cover.
25 feet long
28 feet wide
To calculate the area that needs to be covered in the attic and the garage, we need to calculate the area of each space separately.
Area of the attic:
Length of the attic = 25 feet
Width of the attic = 28 feet
Area of the attic = Length × Width = 25 feet × 28 feet = 700 square feet
Area of the garage:
Length of the garage = 25 feet
Width of the garage = 28 feet
Area of the garage = Length × Width = 25 feet × 28 feet = 700 square feet
Now, we need to calculate the number of rolls of insulation required for each area.
Roll width = 1.25 feet
Roll length = 50 feet
Number of rolls for the attic = Area of the attic / (Roll width × Roll length)
Number of rolls for the attic = 700 square feet / (1.25 feet × 50 feet) = 700 / 62.5 = 11.2 rolls
Since we can't purchase a fraction of a roll, we need to round up the number of rolls required.
Number of rolls for the attic = 12 rolls
Number of rolls for the garage = Area of the garage / (Roll width × Roll length)
Number of rolls for the garage = 700 square feet / (1.25 feet × 50 feet) = 700 / 62.5 = 11.2 rolls
Again, we need to round up the number of rolls required.
Number of rolls for the garage = 12 rolls
Therefore, Mr. Garcia needs 12 rolls of insulation for both the attic and the garage.
To find out how many rolls of insulation Mr. Garcia needs to cover the attic, you can use the formula for finding the area of a rectangle:
Area = Length * Width
In this case, the length of the attic is 25 feet, and the width is 28 feet. So, the area of the attic is:
Area = 25 feet * 28 feet = 700 square feet.
Now, let's calculate how many rolls of insulation are needed to cover this area.
Since each roll of insulation is 1.25 feet wide and 50 feet long, the area it can cover is:
Area covered by one roll = 1.25 feet * 50 feet = 62.5 square feet.
To determine how many rolls are needed, divide the total area of the attic by the area covered by one roll:
Number of rolls needed = Area of attic / Area covered by one roll
Number of rolls needed = 700 square feet / 62.5 square feet
Number of rolls needed ≈ 11.2 rolls.
Since you cannot purchase a fraction of a roll, Mr. Garcia would need to round this number up to the nearest whole number. Therefore, Mr. Garcia needs to purchase at least 12 rolls of insulation to cover his attic.
The same procedure can be followed to calculate the number of rolls needed for the garage, using the given dimensions of the garage (length and width).
To calculate the number of rolls of insulation needed for the attic, we need to find the area to be covered.
The area of the attic = length x width
The area of the attic = 25 feet x 28 feet
The area of the attic = 700 square feet
Now, let's calculate the number of rolls required.
Since each roll of insulation is 1.25 feet wide, we need to divide the width of the attic by the width of each roll:
Number of rolls needed for the width = attic width / roll width
Number of rolls needed for the width = 28 feet / 1.25 feet
Number of rolls needed for the width = 22.4 rolls
As we cannot have fractional rolls, we need to round up to the nearest whole number. So, we would need 23 rolls for the width.
Next, let's calculate the number of rolls needed for the length.
Since each roll of insulation is 50 feet long, we need to divide the length of the attic by the length of each roll:
Number of rolls needed for the length = attic length / roll length
Number of rolls needed for the length = 25 feet / 50 feet
Number of rolls needed for the length = 0.5 rolls
As we cannot have partial rolls, we need to round up to the nearest whole number. So, we would need 1 roll for the length.
Finally, let's determine the total number of rolls needed for the attic:
Total number of rolls needed = number of rolls needed for the width x number of rolls needed for the length
Total number of rolls needed = 23 rolls x 1 roll
Total number of rolls needed = 23 rolls
Therefore, Mr. Garcia would need 23 rolls of insulation for his attic.