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PROBLEM I.

To find the area of a rectangular field.

RULE.

Multiply the length by the breadth, and the product is the

area.

EXAMPLE I.

Required the area of a rectangular field, whose length is 1920 links, and perpendicular breadth 1200 links of the Scots chain.

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Ex. 2. How many Scots acres are in a field 3500 links long and 1400 broad?

Anf. 49 acres. Ex. 3. How many English acres are in a rectangular field 1400 links long and 1200 broad? Anf. 16 ac. 3 ro. 8 p.

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 square garden, whose fide is 6 chain lengths English?

Anf. 3 ac. 2 ro. 16 p.

PROBLEM II.

To reduce Scots acres into English, and vice versa.

RULE for English acres.

As the square of 66
Is to the square of 74,
So is any number of Scots acres
To the number of English acres required.

For Scots acres :

As the square of 74
Is to the square of 66,
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 ?

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Anj. A. R. P. Yds 18 2 6 24

Ex. 2. How many Scots acres are in 17 acres 3 roods English ?

Anf. 14 ac. O ro. 19 falls 4 ells. 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 sides are given, by Prob. 7.; and if the two sides and the angle contained be given, by Prob. 6.

EXAMPLE I.

How many acres are in a triangular field whose three fides are 5600, 7000, 4200 links of the English chain ?

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Ex. 2. Required the area of a triangular garden, whose side is 6co, and the perpendicular falling upon it, from the oppofite angle, 756 links of the Scots 'chain.

756 600

2)453600

2.26800

4

1.07200

40

2.88000

36

528000 264000

32.68000

A. R. F. Ells.
Anf. 2 1 2 31

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 Ta 1330000 1900

2)3230000

1615000

As

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