PLEASE HELP ME SOLVE !!!!
InMay 1998, forest fires in southernMexico
and Guatemala spread smoke all the way to
Austin. Those fires consumed forest land at a
rate of 26900 acres/week.
On the average, how many square meters
of forest are burned down every minute? An
acre is an area equivalent to that of a rectangle
60.5 yd wide and 80 yd long, there are 36
inches in one yard, and there are 2.54 cm in
one inch.
Answer in units of m2/min
Convert 26,900 acres/week to
_____ m^2/minute
1 acre = 4840 yard^2 (from the information given).
Multiply that by 9 ft^2/yd^2,and you get
= 43,560 ft^2 x 144 in^2/ft^2
= 6,272,640 in^2 x (2.54)^2 cm^2/in^2
= 40,468,564 cm^2
= 4046.9 m^2
1 week = 10,080 minutes
[26,900 acres/week / 10,080 min/week] * 4046.9 m^2/acre = ______ m^2/min
To solve this problem, we need to calculate the number of square meters of forest burned down every minute.
First, let's calculate the area of one acre in square meters:
1 acre = 60.5 yards * 80 yards = 4840 square yards
1 square yard = (36 inches * 2.54 cm/inch) * (36 inches * 2.54 cm/inch) = 929.0304 square centimeters
1 square meter = 10000 square centimeters
So, 1 acre = 4840 * 929.0304 square centimeters = 4,509,564.16 square centimeters
And, 1 acre = 4,509,564.16 square centimeters / 10000 = 450.956416 square meters
Next, let's find out how many acres are burned down every minute:
The rate is given as 26,900 acres/week. To find acres/minute, we divide by the number of minutes in a week.
There are 7 days in a week and 24 hours in a day, so there are 7*24 = 168 hours in a week.
Since there are 60 minutes in an hour, there are 168*60 = 10,080 minutes in a week.
So, the rate is 26,900 acres/10,080 minutes = 2.667 acres/minute.
Finally, let's calculate how many square meters are burned down every minute:
2.667 acres/minute * 450.956416 square meters/acre = 1201.07464 square meters/minute.
Therefore, on average, approximately 1201.07 square meters of forest are burned down every minute.
To solve this problem, we need to calculate the number of acres burned per minute and then convert that to square meters.
Step 1: Calculate the number of acres burned per minute.
Given that the rate of forest land consumed is 26900 acres per week, we need to convert this to minutes. There are 7 days in a week and 24 hours in a day, so there are 7 * 24 * 60 = 10080 minutes in a week.
Thus, the rate of land consumed per minute is 26900 acres / 10080 minutes = 2.66 acres/minute.
Step 2: Convert acres to square meters.
We are given that an acre is equivalent to the area of a rectangle that is 60.5 yards wide and 80 yards long. To convert this to square meters, we need to multiply by the conversion factors to change yards to inches and then inches to centimeters.
1 yard = 3 feet = 36 inches (since there are 12 inches in a foot)
1 inch = 2.54 centimeters
So, the area of an acre in square meters is:
60.5 yards * 36 inches/yard * 80 yards * 36 inches/yard * 2.54 centimeters/inch * 2.54 centimeters/inch = 4046.86 square meters.
Step 3: Calculate the number of square meters burned per minute.
Multiply the number of acres burned per minute (2.66 acres/minute) by the conversion factor from step 2 (4046.86 square meters/acre) to get the result in square meters:
2.66 acres/minute * 4046.86 square meters/acre = 10777.65 square meters/minute.
Therefore, the average number of square meters of forest burned down every minute is approximately 10777.65 square meters/minute.