If the sides of a parallelogram are 10 and 12, and one of the angles of the parallelogram measures 45, then the area of the parallelogram is:
2006-06-08 13:27:20 · 13 answers · asked by michchristine 2 in Science & Mathematics ➔ Mathematics
height = 5sqrt(2)
base = 12
Area = 5sqrt(2)*12
Area = 60sqrt(2)
Note that the height is neither 10 nor 12.
If you consider 12 to be the base, then the slant height is 10.
Area equals base times height.
Height and slant height are not the same thing.
2006-06-08 13:30:13 · answer #1 · answered by MsMath 7 · 17⤊ 0⤋
The area of a parallelogram is 1/2 * base * height, so .5 times 10 times 12 = 60
2006-06-08 13:30:15 · answer #2 · answered by snakehawk37 3 · 0⤊ 0⤋
where the f**k did you see that? coz a parallelogram has only and only four parallel sides. Maybe in the universe you belong to we can find a 13sided figure called a parallelogram. And at least this was what the math book of class6 said the last time i referred to it(that is.......... a few years ago). But who knows, they keep changing the course. Someday the sun WILL rise from the west and we WILL have a 13sided parallelogram. Thanks to your extra-terestrial brain!!
2016-03-26 22:49:22 · answer #3 · answered by Anonymous · 0⤊ 0⤋
10 * 12 = 120.
Since the one angle (pair) is 45 the other must be 135.
Draw perpendiculars through bottoms points. You will get a rectangles and two triangles.
The triangles will have 45 - 45 - 90 angles.
Take one triangles and paste on the other side; you will get a rectangle of 10 x 12.
Therefore the area is = 10 * 12 = 120
2006-06-08 13:32:19 · answer #4 · answered by naturalway42 5 · 0⤊ 0⤋
area of a parallelogram = base * height
base = 12 cm
height = 5*sqrt 2
area = 60*sqrt 2
2006-06-08 18:41:27 · answer #5 · answered by jimbob 6 · 0⤊ 0⤋
I don't think angle measures are needed to solve this. The area equals 120. 10*12=120.
2006-06-08 13:31:13 · answer #6 · answered by čŖåŻęĤ! 4 · 0⤊ 0⤋
The Formula is Area=product of any two adjacent sides *sine of the angle between them.
Area=10*12*sin45
2006-06-09 05:47:07 · answer #7 · answered by Newton 1 · 0⤊ 0⤋
60
2006-06-08 14:34:00 · answer #8 · answered by Omega_sages 2 · 0⤊ 0⤋
Area = base times height.
2006-06-08 13:32:53 · answer #9 · answered by csucdartgirl 7 · 0⤊ 0⤋
Area = ab sin(A)
Area = (10 * 12)sin(45)
Area = 120(sqrt(2)/2)
Area = (120sqrt(2))/2
Area = 60sqrt(2)
Area = about 84.853
ANS : about 84.85
2006-06-08 14:08:18 · answer #10 · answered by Sherman81 6 · 0⤊ 0⤋