Suppose the farmer buys another 1/2 square mile of land and divides his land into square Fields 1/4 Mile Long and 1/4 Mile wide how many fields will he have
draw a square
each side is divided in half, right? (1/4 is half of 1/2)
so, how many small squares?
kdndnf
To determine the number of fields the farmer will have, we need to calculate the total area of the land after he buys another 1/2 square mile of land, and then divide it by the area of each field.
Let's break down the steps:
1. Convert 1/2 square mile to square feet:
- 1 square mile = 27,878,400 square feet
- So, 1/2 square mile = (27,878,400 / 2) = 13,939,200 square feet
2. Add the additional land to the original land:
- Let's assume the farmer initially had L square miles of land.
- So, the total land area is L + 1/2 square mile.
- Since 1 square mile equals 640 acres, we can convert the total land area to acres as follows:
Total land area in acres = (L + 1/2) * 640
3. Convert the land area from acres to square feet:
- 1 acre = 43,560 square feet
- So, the total land area in square feet = (Total land area in acres * 43,560)
4. Calculate the number of fields:
- Each field is 1/4 mile long and 1/4 mile wide, which is equivalent to:
- 1/4 mile = 1,320 feet (since 1 mile = 5,280 feet)
- 1/4 mile = (1,320 * 1,320) square feet
- Finally, divide the total land area in square feet by the area of each field to get the number of fields:
Number of fields = (Total land area in square feet) / (Area of each field in square feet)
By following these steps and plugging in the appropriate values for L, you can determine the total number of fields the farmer will have.
"The farmer buys ANOTHER 1/2 sq. mile of land." Well, how many sq. miles of land did he have to begin with? Let's assume he had 1/2 sq. mile to begin with:
A1 = 1/2 + 1/2 = 1 sq. mile.
A2 = L * W = 1/4 * 1/4 = 1/16 sq. miles.
A1/A2 = 1/(1/16) = 16 Fields.