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Ex. 4. Required the content of a rectangular field, the length being 2000 links, breadth 1000 links of the Scots chain. Anf. 20 acres.

Ex. 5. How many acres are in a fquare garden, whofe fide is 6 chain lengths English? Anf. 3 ac. 2 1o. 16 p.

PROBLEM II.

To reduce Scots acres into English, and vice verfa.

RULE for English acres.

As the fquare of 66

Is to the fquare of 74,

So is any number of Scots acres

To the number of English acres required.

As the fquare of 74

Is to the fquare of 66,

For Scots acres :

So is any number of English acres

To the number of Scots acres required.

EXAMPLE I.

How many English acres are in 14 acres, 3 roods Scots ?

254

66

74

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255

Ex. 2. How many Scots acres are in 17 acres 3 roods EngAnf. 14 ac. o ro. 19 falls 4 ells.

lith?

Ex. 3. How many English acres are in 4co Scots?

Anf. 502 ac. 3 ro. 19 p. 29 yds.

PROBLEM III.

To find the area of a triangular field.

If the base and perpendicular are given, workby Problem 5. of surfaces; if the three fides are given, by Prob. 7. ; and if the two fides and the angle contained be given, by Prob. 6.

EXAMPLE I.

How many acres are in a triangular field whofe three fides are 5600, 700c, 4200 links of the English chain?

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Ex. 2. Required the area of a triangular garden, whose fide is 600, and the perpendicular falling upon it, from the oppofite angle, 756 links of the Scots chain.

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Ex. 3. How many acres are in a triangular field, whose two fides are 1900, and 1700 links of the English chain, and the angle contained between them 48° 13'?

1900

1700

1330000

1900

2)3230000

1615000

As

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Ex. 4. Required the area of a triangular field, whofe three fides are 600, 1000, 800 links of the Scots chain.

Èx.

Anf. 2 ac. i ro. 24 falls. x. 5. How many acres are in a triangular field, whose base is 1900 links, and perpendicular 1500 links of the English chain? Anf. 14 ac. I ro. Ex. 6. Required the area of a triangular field, whereof one of the angles is 54°, and containing fides 1400 and 1500 links of the Scots chain. Anf. 8 ac. I ro. 39 f. 7 ells.

PROBLEM IV.

To find the area of a field in the form of a trapezoid. See Prob

lem 8. of furfaces.

EXAMPLE I.

Required the area of a trapozoid, whofe parallel fides are

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