Respuesta :
Answer:
2 inches
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the height )
Here A = 16 and b = 2h + 4 ( 4 more than twice the height ), thus
16 = h(2h + 4) = 2h² + 4h ( subtract 16 from both sides )
2h² + 4h - 16 = 0 ( divide through by 2 )
h² + 2h - 8 = 0 ← in standard form
(h + 4)(h - 2) = 0 ← in factored form
Equate each factor to zero and solve for h
h + 4 = 0 ⇒ h = - 4
h - 2 = 0 ⇒ h = 2
But h > 0 thus h = 2
Answer:
2 (i think)
Step-by-step explanation:
4 times 2 = 8 and to get the area you need to multiply base times height and the only way to get 16 once youve figured out 8 is to multiply it by 2
