The area of the parallelogram is 112 cm2. Find the heights of the parallelogram if its sides are 14 cm and 16 cm.

The parallelogram area is found by the formula:
S = ah,
where a is the side of the parallelogram, h is the height lowered to the side a.
Parallelogram ABCD: AB = CD = 14 cm, BC = AD = 16 cm. ВH – height lowered to the AD side, ВK – height lowered to the CD side. S = 112 cm ^ 2.
1. Find the length of the height lowered to the AD side:
S = AD * BH;
16 * BH = 112;
BH = 112/16;
BH = 7 cm.
2. Find the length of the height lowered to the CD side:
S = CD * BK;
14 * ВK = 112;
ВK = 112/14;
ВK = 8 cm.
Answer: BH = 7 cm, BK = 8 cm.