Question

The height of a parallelogram is one – third of its base. If the area of the parallelogram is
108 cm², find its base.​

Answer 1

Step-by-step explanation:

Let the base be x

Then height = x/3

Area of llgm= 108cm²

b×h= 108cm²

x*x/3= 108

x²= 108*3

x= √324

x= 18cm

Base of parallogram= 18cm

Height of the parallogram = x/3

= 18/3

= 6cm

Answer 2

base = a cm (let)

height = 1/3a cm

area of parallelogram = base×height = 108

a×(1/3)a=108

(1/3)a²=108

a²=108×3

a=√(3×3×3×3×2×2) = 3×3×2 = 18

ANSWER = 18cm

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