## Related questions with answers

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 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.

Solution

VerifiedGiven $580$ perch$^{2}$ from part $a)$, use the aforementioned conversion factors and 3.28 ft = 1 meter to find m$^{2}$.

$\begin{aligned}A_\text{total}&=\left( \dfrac{580 \: \rm{perch}^{2}}{1} \right) \cdot \left( \dfrac{16.5 \: \rm{ft}}{1 \: \rm{perch}} \right)^{2} \cdot \left( \dfrac{1 \: \rm{meter}}{3.28 \: \rm{feet}} \right)^{2}\\&\approx 1.47 \times 10^{4}\text{ m}^{2}\end{aligned}$

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