Question

The height of the parallelogram is 6/7 units and base of the parallelogram is one third of the height. Find the area of the parallelogram.

147/36 sq. units
36/147 sq. units
6/21 sq. units
6/63 sq. units

Answer 1

Area of the parallelogram:

A = a * h

where a is the base and h is the height;

91 = a * h

a = 2 h + 1

( 2 h + 1 ) * h = 91

2 h² + h - 91 = 0

h 1/2 = ( - 1 +/- √(1+728)) / 4 = ( - 1 +/- 27) / 4

h = 6.5 ( another solution is negative )

a = 2 * 6.5 + 1 = 13 + 1 = 14

Answer:

The base is 14 units and the height 6.5 units long.

Explanation: