THE AREA OF THE AREA OFEXAMPLE 6

3. The area of The area ofExample 6: w + z 180

^A

^B

^C

^D

^E

an equilateral a right triangle(since PR is a straighttriangle with with legs 3line)side 6 and 9A machine was in operationThe area of a triangle is one half the product of the lengths of thefor t minutes.base and the altitude. In Column A, the length of the altitude mustExample 7: The number 60t

^A

^B

^C

^D

^E

first be determined. A sketch of the triangle may be helpful.of seconds thatthe machine wasin operation

6

6

h

A farmer has two plots of land

3

3

that are equal in area. The first

6

plot is divided into 16 parcels withThe altitude h divides the base of an equilateral triangle into twom acres in each parcel, and theequal parts. From the Pythagorean Theorem, h

²

+ 3

²

= 6

²

, orsecond plot is divided into 20 par-h 33. Therefore, the area of the triangle in Column A iscels with n acres in each parcel.Example 8: m n

^A

^B

^C

^D

^E

1

( )

2 ^{(6)(33) 9}3. In Column B, the base and the altitude of theDirections: Each of the sample questions consists of tworight triangle are the two legs; therefore, the area isquantities, one in Column A and one in Column B. Theremay be additional information, centered above the two col-umns, that concerns one or both of the quantities. A symbol

( )

2 ^{(9)(3) 9 3}2 . Since 93 is greater than ^{9 3}