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9 April, 08:47

An old manuscript reveals that a landowner in the time of King Arthur held 3.00 acres of plowed land plus a livestock area of 25.0 perches by 4.00 perches. What was the total area in (a) the old unit of roods and (b) the more modern unit of square meters? Here, 1 acre is an area of 40 perches by 4 perches, 1 rood is an area of 40 perches by 1 perch, and 1 perch is the length 16.5 ft.

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  1. 9 April, 09:04
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    (a) Total area is 14.5 roods

    (b) Total area is 14674.522 square meters

    Explanation:

    Area occupied by land = 3 acres

    1 acre = 40 perches by 4 perches = 160 square perches

    3 acres = 3*160 = 480 square perches

    Area occupied by livestock = 25 perches by 4 perches = 100 square perches

    Total area = 480 + 100 = 580 square perches

    1 rood = 4 perches by 1 perch = 4 square perches

    580 square perches = 580/4 = 14.5 roods

    (b) Total area = 580 square perches

    1 perch = 16.5ft = 16.5/3.2808 = 5.03 meters

    580 square perches * (5.03 meters/1 perch) ^2 = 580 * 25.3009 square meters = 14674.522 square meters
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