Question

the height and base of a parallelogram are in ratio 7:3 if the area of the parallelogram is 8400 m² then find the measure of the base and altitude​

Answer 1

Step-by-step explanation:

The Altitude is 140 m and base is 60 m

Step-by-step explanation:

Given :

Height and base ratio = 7 : 3

Area of the Parallelogram = 8400 m²

To find :

Its base and height

Solution :

Let the -

Height be 7x

Base be 3x

\rule{300}{1.5}

Area of Parallelogram is the product of its altitude and base.

➨ Area = Altitude × Base

➨ 8400 = 7x × 3x

➨ 8400 = 21x²

➨ x² = 8400/21

➨ x² = 400

➨ x = \sqrt{400}

400

➨ x = 20

\rule{300}{1.5}

Altitude =

➨ 7x

➨ 7(20)

➨ 140

Altitude = 140 m

\rule{300}{1.5}

Base =

➨ 3x

➨ 3(20)

➨ 60

Base = 60 m

\therefore∴ The Altitude is 140 m and base is 60 m

Answer 2

Answer:

height is 140 and base is 60

Step-by-step explanation:

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