Question

The base of the parallelogram is thrice its height if the area of the parallelogram is 972cm. find the base and height of the parallelogram ??

Answer 1

The values of height and base is to found.Lets assume that ,
height , h = a
Base , b = 3 a
As it is given that the base of the parallelogram is 3 times the height of the parallelogram.
Area of parallelogram = bh = 972 cm²
i.e,
a × 3 a = 972
3 a² = 972
a² = 972 ÷ 3
a ² = 324
a = √324
a = 18 cm

∴ height = a = 18 cm
base = 3a= 3 ×18 = 54 cm


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Answer 2

Answer:

Height = 18 cm and Base = 54 cm

Explanation:

Let the common multiple be x

Therefore, The Base of Parallelogram is 3x

We know that,

Area = Base * Height

Area = 3x * Height

972 = 3x * Height

x = 972/3

x = 324

√324 = x

x = 18 cm

Therefore, Height of Parallelogram is 18cm and it's base is 18 * 3 = 54 cm.

Therefore:

Height = 18 cm

Base = 54 cm