Answer:
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
