Question

the base of a parallelogram is twice its height if the area of the parallelogram is 515 cm^2 find the base and height​

Answer 1

Answer:

If the base of a parallelogram is twice its height if the area of the parallelogram is 515 cm^2 then the base is 32.08cm and the height​ is 16.04 cm.

Step-by-step explanation:

Height of  parallelogram= h

Base of parallelogram (b) = 2 × height = 2h

Area of parallelogram=b × h=515 sq. cm  

⇒2h×h = 515sq.cm

⇒$2h^2 =515$

⇒$h^2 =257.5cm$

⇒ h = 16.04 cm

Base=2h =2×16.04 =32.08 cm

Answer 2

Answer:

Let the height of the parallelogram be h, then its base is 2h (as given in the problem).

The area of a parallelogram is given by the formula:

Area = base × height

Substituting the values, we get:

515 cm² = (2h) × h

515 cm² = 2h²

h² = 515 cm² / 2

h² = 257.5 cm²

Taking the square root of both sides, we get:

h ≈ 16.031 cm (rounded to three decimal places)

Substituting the value of h, we can find the base:

Base = 2h ≈ 32.062 cm (rounded to three decimal places)

Therefore, the height of the parallelogram is approximately 16.031 cm and its base is approximately 32.062 cm.