Question

7. The area of a parallelogram is 338 m². If its altitude is twice the corresponding base,
find the base and the altitude.


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Answer 1

Answer:

609555 is the base......

Answer 2

Given:

• The area of a parallelogram is 338 m². If its altitude is twice the corresponding base,

To Find:

• The base and the altitude.

Solution:

Let us we consider the base of the parallelogram be " x "

Now, as per the given , the height is twice the base i.e, " 2x ".

Now, as we know the formula for area of the parallelogram.

• ⠀⠀⠀⠀Area → Base × Height

$\implies$Base = * x "

$\implies$Height = " 2x "

Substituting the values in it, we get :

Area = x * 2x

⇒ 2x²

Now, area is already given as 338

$\implies$2x² = 338

$\implies$x² = 338/2

$\implies$x² = 169

$\implies$x = √ 169

$\implies$x = 13 m

⠀⠀$\underline{\bf{x = 13 m}}$ ⠀

Now, simply putting the value of x

• Base of the parallelogram → x = 13 m
• Height of the parallelogram → 2x = 2(13) = 26 m