Question

In a Parallelogram the altitude is twice the length of the base,its area is 450cm². find the Length of the base and altitude​.

Answer 1

Answer:

$\bigstar{\bold{Base\:of\:the\:parallelogram=15\:cm}}$

$\bigstar{\bold{Length\:of\:the\:altitude=30\:cm}}$

Step-by-step explanation:

$\Large{\underline{\rm{Given:}}}$

• Altitude is twice the length of the base
• Area = 450 cm²

$\Large{\underline{\rm{To\:Find:}}}$

• Length of the base
• Length of the altitude

$\Large{\underline{\rm{Solution:}}}$

➔ We are given that the atitude is twice the length of the base.

➔ Let the base of the parallelogram be b.

➔ Hence by given,

    Altitude = 2 × base

    Altitude = 2b

➔ Now we know that area of a parallelogram is given by,

    Area of parallelogram = b × h

    where b = base

    h = altitude

➔ Substitute the data,

    b × 2b = 450

    2b² = 450

       b² = 450/2

       b² = 225

       b = √225

       b = 15

➔ Hence base of the parallelogram is 15 cm.

    $\boxed{\bold{Base\:of\:the\:parallelogram=15\:cm}}$

➔ Now altitude of the parallelogram is given by,

    Altitude = 2b

    Altitude = 2 × 15

    Altitude = 30 cm

➔ Hence altitude of the parallelogram is 30 cm.

    $\boxed{\bold{Length\:of\:the\:altitude=30\:cm}}$