The bottom left-hand corner of the parallelogram has a measure of 120 degrees. So, using A=base*height, I got that the area of the parallelogram is 100 square roots of 3 square units. Was this correct? The left side of the parallelogram is 10 units long and the base is 20 units long. Also, if the botoom left-hand corner were ninety degrees, then the paralleogram would be a rectangle and area would be 200 square units, correct? Your help is greatly appreciated.
2007-03-17 16:55:27 · 2 answers · asked by Muffins 1 in Education & Reference ➔ Homework Help
You must find the perpendicular height of the parallelogram. The "120 degrees" is significant - 90 + 30, therefore in the small triangle of the parallelogram:
Hypotenuse = 10 units
Angle = 30 degrees
Using Trigonometry involving Sine, Co-Sine or Tangent you can find the perpendicular height of the parallelogram..
Multiply the answer you get by the base (20) and you have your area.
You will do well.
2007-03-17 17:35:32 · answer #1 · answered by springday 4 · 0⤊ 0⤋
You are not correct, yet. You have to find the distance from the top line to the bottom line, but you can't follow that side. You have to measure straight up from the bottom to the top (perpendicular to the parallel lines.) Once you have that measurement, you multiply that by the length of the base. That will give you the area of the parallelogram.
2007-03-17 17:02:45 · answer #2 · answered by musicman11ca 2 · 1⤊ 0⤋