Question

the base and the height of a parallelogram are in the ratio 1:3 its area is 12 cm² find the base and height
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Answer 1

Answer:

The height is 6 cm and Base is 2 cm

Step-by-step explanation:

Given :

Area of the Parallelogram = 12 sq.cm

Ratio of its base to height = 1 : 3

To find :

The height and base of the parallelogram

Solution :

Let the -

• Base be as 3x
• Height be as x

$\rule{300}{1.5}$

Area of parallelogram is the product of its base and height.

➨ Area = Height × Base

➨ 12 = x × 3x

➨ 12 = 3x²

➨ 3x² = 12

➨ x² = 12/3

➨ x² = 4

➨ x = $\sqrt{4}$

➨ x = 2

Base = 2 cm

$\rule{300}{1.5}$

Height =

➨3x

➨ 3(2)

➨ 6

Height = 6 cm

$\therefore$ The height is 6 cm and Base is 2 cm

Answer 2

Let the base and height of the parallelogram be x and 3x respectively,
Area of parallelogram = 12cm
Base x height = 12
(x)(3x) =12
3xsquare =12
x square = 12/3
x square = 4
x = under root 4
x = 2