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

Let’s first recall the formula for the area of a parallelogram in terms of side and height:
S = a * h,
where a is the side, h is the height lowered to the side a.

From the condition, we know that the sides of the parallelogram are 14 cm and 16 cm. We can draw heights lowered both on the side with a length of 14 cm and on the side with a length of 16 cm. Let’s calculate the length of each of the heights.

We also know that S = 112 cm2.

1. Find the height lowered to the side of 16 cm:

S = a * h;

16 * h = 112;

h = 112: 16;

h = 7 cm.

2. Find the height lowered to the 14 cm side:

S = b * h;

14 * h = 112;

h = 112: 14;

h = 8 cm.