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An acre is equal to 43,560 square feet, and there are 5,280 feet in a mile. If a farm has the shape of a rectangle measuring 0.9 miles by 1.5 miles, what is the area of the farm in acres?

Answer :

The area of the farm is calculated by multiplying its length and width in miles, converting this figure to square feet using the conversion factor of 1 mile equals 5280 feet and then converting square feet to acres. The farm's area measures 864 acres.

To find the area of the farm in acres, first, we calculate the area in square miles by multiplying the length and width of the farm in miles. Then, we convert the area from square miles to square feet, and finally from square feet to acres.

Multiply the farm's dimensions in miles: 0.9 miles imes 1.5 miles to get the area in square miles.

Convert the result to square feet using the conversion factor 1 mile = 5280 feet: (surface area in square miles) imes (5280 feet/mile)^2.

Finally, divide the total square feet by 43,560 square feet/acre to convert the area into acres.

Let's do the calculations:

Area in square miles: 0.9 imes 1.5 = 1.35 square miles.

Area in square feet: 1.35 imes (5280)^2

= 1.35 imes 27,878,400

= 37,635,840 square feet.

Area in acres: 37,635,840 \/ 43,560 = 864 acres.

Therefore, the farm's area is 864 acres.

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