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MENSURATION.
MENSURATION.
If each side in a square ( see Fig. 1 ) is two feet long, the
area of the figure will be 4 square feet; that is, it contains four
squares, each of- which is one square foot.
Thus the area of any square or rectangle is fig. 1 •
calculated by multiplying the length by the
width.
Example 1.
What is the area of a piece of land
having right angles and measuring 108 feet
long and 20 feet wide ?
Solution
:
1
s
i
108 X 20 = 2160 square feet.
Example 2.
What is the area in square meters of a square house-lot 30
meters long and 30 meters wide.
Solution
:
30 X 30 = 900 square meters.
(Square meter is frequently written m2
and cubic meter is
written ?/2
3
).
A square inscribed in a circle is half in area of a square
outside the same circle. Divide the side of a square by 0.8862,
and the quotient is the diameter of a circle of the same area as
the square.
The Difference between One Square Foot and One Foot
Square.
One foot square means one foot long and one foot wide,
but one square foot may be any shape, providing the area is one
square foot. For instance, Fig. 1 is two feet square, but it con-
tains four square feet. One inch square means one inch long
and one inch wide, but one square inch may be any shape,
provided the area is one square inch. One mile square means
one mile long and one mile wide, but one square mile may have
any shape, provided the area is one square mile.
Area of Triangles.
The area of any triangle may be found by multiplying the
base by the perpendicular height and dividing the product by 2.
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