Question 271760
perimeter of the parallelogram is 20 yards.
the height of the parallelogram is 3 yards.


the area of the parallelogram is height * base.


the perimeter of the parallelogram is 20 yards.


the side adjoining the base is 4 yards.


in a parallelogram, the opposite sides are both parallel to each other and equal to each other.


this means that 2 times the base of the parallelogram plus 2 times the adjoining side of the parallelogram equals the perimeter of the parallelogram.


2 times the adjoining side = 8.


8 subtracted from 20 = 12


12/2 = 6


the base of the parallelogram is 6 yards long.


the area of the parallelogram is the height times the base = 3 * 6 = 18 square yards.


here's your parallelogram:

<pre>
                                 6 yards
                                    |
                         x x x x x x x x x x
                        x            x    x
        4 yards --     x             x   x
                      x 3 yards --   x  x   -- 4 yards
                     x               x x
                    x x x x x x x x x x 
                           |
                        6 yards
</pre>
the base and the side opposite it are each equal to 6 yards in length.
the right side and the side opposite to it are each equal to 4 yards in length.
the altitude is equal to 3 yards in length.