SOLUTION: The length of the shorter side of a parallelogram is 29 cm. A perpendicular line segment, which goes through the point of intersection of the diagonals to the longer side divides t
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-> SOLUTION: The length of the shorter side of a parallelogram is 29 cm. A perpendicular line segment, which goes through the point of intersection of the diagonals to the longer side divides t
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Question 1110419: The length of the shorter side of a parallelogram is 29 cm. A perpendicular line segment, which goes through the point of intersection of the diagonals to the longer side divides this longer side into two segments: 33 cm and 12 cm. What is the area of the parallelogram? Answer by ikleyn(52781) (Show Source):
The area of a parallelogram is the product of its base measure by its height measure.
The base has the measure of 33+12 = 45 cm.
All you need to find is the measure of the height drawn to the base.
Let ABCD be your parallelogram with the longer side AB of 29+12 = 45 cm long.
Draw the height (the perpendicular) to the side AB from the vertex C.
You will get a right angled triangle with the hypotenuse of 29 cm and one leg of 33-12 = 21 cm. Hence, its other leg is = 20 cm.
This other leg is the height of the parallelogram.
Now the area of the parallelogram is 45*20 = 900 cm^2.
