Question

The height and base of a parallelogram are in the ratio 7:3. If the area of the parallelogram is 8,400
m, then find the measures of the base and altitude.​

Answer 1

Answer:

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 = $\sqrt{400}$

➨ 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