An old manuscript reveals that a landowner in the time of King Arthur held 3.36 acres of plowed land plus a livestock area of 15.6 perches by 5.50 perches. What was the total area in (a) the old units of roods and (b) the more modern units of square meters

a) 99.24 roods

b) 100,402.10 m2

Explanation:

a) the area of 3.36 acres is equivalent to 13.44 roods because 1 ac = 4 roods so:

1 ac = 4 roods

3.36 ac = x X = (3.36 x 4) / 1 = 13.44

And the other area that has 15.6 times 5.50 perches, the area total will be: 15.6 x 5.50 = 85.8 square perchees.

and 1 square peerch is equal to 1 rood

so to obtain the area in roods, you add 13.44 roods of the first area plus 85.8 roods of the second area, that is a total of 99.24.

b) to change in m2 the equivalent is 1 rood = 1,0011.71 m2

99.24 roods = x

X = (99.24 x 1,0011.71) / 1 = 100,402.10 m2

Hope this info is useful.