Question

An old manuscript reveals that a landowner in the time of king Arthur held 3.00 acres of plowed iand plus a live stock area of 25.0 perches by 4.00 perches. What was the total area in :

(a) The old unit of roods

(b) The more modern unit of square meters ?

Here 1 acre is a area of 40 perches by 4 perches, 1 rood is 40 perches by 1 perch and 1 perch is 16.5 feet.

Answer 1

Hi,

1 acre = 40 perches by 4 perhes

1 rood = 40 perches by 1 perch

1 perch = 16.5 feet

Now,

1 acre = 40 perches by 4 perches

=> 1 acre = 660 feet by 66 feet = 43560 feet²

=> 3 acres = 130680 feet²

25 perches by 4 perches = 412.5 feet by 66 feet = 27225 feet²

So, the total area in feet² is (130680+27225) feet² = 157905 feet²

1 rood = 40 perches by 1 perch

=> 1 rood = 660 feet by 16.5 feet = 10890 feet²

Since, 10890 feet² = 1 rood

=> 157905 feet² = 14.5 roods

Therefore,

(a) (a) Total area in the old units of roods is 14.5 roods

(b) (b) 1 feet² = 0.0929 m²

Total area is 157905 feet² which when converted to m² becomes 14669.85 m²