Question

the ratio of two adjacent sides of a parallelogram is is 2:3 if its perimeter is 50 centimetre find its area if altitude corresponding to largest side is 10 cm​

Answer 1

Step-by-step explanation:

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Answer 2

Given :

• Ratio of two adjacent sides of a parallelogram = 2 : 3
• Perimeter of the parallelogram = 50 cm

To find :

• Area of the parallelogram if its altitude corresponding to the largest side is 10 cm

Knowledge required :-

• Formula to calculate perimeter of parallelogram :-

⠀⠀⠀⠀⠀Perimeter = 2(l + b)

• Formula to calculate area of parallelogram :-

⠀⠀⠀⠀ Area = l × b

where,

• l = length of the parallelogram
• b = breadth of the parallelogram

~Understanding the question ::

Firstly, we will find the sides of the parallelogram. We are given the ratio of the sides of the parallelogram from there we will assume the sides as 2x and 3x. By using the formula of perimeter of parallelogram we will find the value of x. After substituting the value of x in sides which we have let we will find the area of the parallelogram.

Solution :

Let the sides of the parallelogram be 2x and 3x.

⠀⠀⠀⇒ Perimeter = 2(l + b)

⠀⠀⠀⇒ 50 = 2(2x + 3x)

⠀⠀⠀⇒ 50/2 = 2x + 3x

⠀⠀⠀⇒ 25 = 5x

⠀⠀⠀⇒ 25/5 = x

⠀⠀⠀⇒ 5 = x

The value of x = 5

Substitute the value of x in the sides of the parallelogram which we have let.

• 2x = 2 × 5 = 10 cm
• 3x = 3 × 5 = 15 cm

Therefore, two opposite sides of the parallelogram = 10 cm and the other two opposite sides = 15 cm.

⠀⠀⠀⇒ Area of the parallelogram = l × b

⠀⠀⠀⇒ Area = 15 × 10

⠀⠀⠀⇒ Area = 150

★ Area of the parallelogram = 150 cm²