The perimeter of a parallelogram is 48 cm. If the height of the parallelogram is 6 cm and the length of the adjacent side is 8 cm, find its area.

Correct option is D

Given:

- Perimeter = 48 cm

- Height = 6 cm

- Length of one adjacent side = 8 cm

Solution:

Use the formula for the perimeter of a parallelogram

The perimeter of a parallelogram is given by:

P = 2(a + b)

Here, P = 48 cm and one side b = 8 cm. Solve for the other side a:

48 = 2(a + 8)

24 = a + 8

a = 24 - 8 = 16 cm

Use the formula for the area of a parallelogram

The area of a parallelogram is given by:

A = b × h

Here, b = 16 cm (base) and h = 6 cm (height).

A = 16 × 6 = 96 cm²

The area of the parallelogram is 96 cm².