The distance between the opposite sides is a perpendicular line so we can form a right angled triangle by drawing a perpendicular line from one corner of the parallelogram to the opposite 24 cm side.
So one angle of the parallelogram will have a sine of 8/16 = 1/2 so this angle = 30 degrees.
In a similar way to the above we form a right angled triangle from the same corner by drawing a perpendicular line to the opposite 16 cm side.
This has an angle of 30 degrees ( opposite angles in a parallelogram are congruent).
So sine 30 = x / 24
1/2 = x /24
x = 12 feet.
Another way to do this is by noting that the 2 triangles are similar (because 2 corresponding angles are equal).
Convert the mixed fractions to a decimal. 2 1/4 is 2.25 1 2/4 is 1.5 2. Add them up. 3. 3.75 as a decimal or 3 3/4 as a mixed fraction or 15/4 as a improper fraction.
