dominatord3912 dominatord3912
  • 26-04-2021
  • Mathematics
contestada

The height of a parallelogram is three times its base. If the area is 972 square inches, what is the base and height?

Respuesta :

adefunkeadewole adefunkeadewole
  • 28-04-2021

Answer:

Base = 18 inches

Height = 54 inches

Step-by-step explanation:

The height of a parallelogram is three times its base. If the area is 972 square inches, what is the base and height?

The area of a parallelogram is given as:

Base × Height

Height = h = 3b

Area = 972 square inches

We substitute

972 = b × 3b

972 = 3b²

Divide both sides by 3.

b² = 972/3

b² = 324

b = √324

b = 18 inches

Solving for h

h = 3b

h = 3 × 18

h = 54 inches

Therefore,

Base = 18 inches

Height = 54 inches

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