A parallelogram has an area of 120 square units. Its perimeter is between 40 and 50 units. List two possible dimensions for the parallelogram.

The dimensions are:

10 units and 12 units

10 units and 14 units

Step-by-step explanation:

∵ The area of the parallelogram is 120 units²

∵ 40 < perimeter of it < 50

∵ Perimeter of it = 2 (b1 + b2)

∴ 40 < 2 (b1 + b2) < 50 ⇒ : 2

∴ 20 < b1 + b2 < 25

∴ b1 + b2 = 21, 22, 23, 24

* We can chose any sum of them

∵ The area of the parallelogram = b1 * h1 = b2 * h2

∵ b1 * h1 = 120

∴ We can chose b1 = 10 so h1 = 12 ⇒ b2 = 11, 12, 13, 14

Or we can chose b1 = 12 so h1 = 10 ⇒ b2 = 9, 10, 11

∴ We can chose any two dimensions above