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

Algebra.Com
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): You can put this solution on YOUR website!
.
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.


RELATED QUESTIONS

Write the equation of a line that goes through the point (3,7) and is perpendicular to... (answered by roseo)
Which of the following is being constructed in the image? Image URL:... (answered by Alan3354)
One side of a triangle is 53 cm shorter than the base. The other side is 29 cm longer... (answered by rfer)
Can you determine the radius of a circle given the length of a segment (35') and the... (answered by Fombitz)
The graph of the line through (2,3) which is perpendicular to the line with the equation... (answered by richwmiller)
Write the equation of a line perpendicular to the line y=-2x-4 that goes through the... (answered by jim_thompson5910)
ABC is a triangle with base = BC . A line segment DE is drawn parallel to Side AC. D is... (answered by ikleyn)
Answer TRUE or FALSE. (a) The equation of the line through (0,0) which is... (answered by venugopalramana,checkley71)
The graph of the line through (2,3) that is perpendicular to the line with equation x =... (answered by josmiceli)