Question

the area of a parallelogram is 338 metre square it is altitude is twice the corresponding base find the base and the altitude​

Answer 1

Given :-

• The area of a parallelogram is 338m^2

• It's altitude is twice the corresponding base.

Solution :-

Here, We have to find the base of the parallelogram.

As we know that,

Area of parallelogram = Base * Height

According to the question,

Base of the Parallelogram = 2 * height

Let the height be x

Therefore,

The base of the parallelogram = 2x

Put the required values in the given formula ,

338 = x * 2x

338 = 2x^2

x^2 = 338/2

x^2 = 169

x = √169

x = √ 13 * 13

x = 13

Hence, The base of the parallelogram is 13m and Height of parallelogram is 2 * 13 = 26m $.$

Explore More :-

• Area of rectangle = Length * Breath

• Area of triangle = 1/2 * Base * Height

• Area of square = Side * Side

Answer 2

$\sf{\huge{\underline{\red{Given :-}}}}$

• The area of a parallelogram is 338 metre square.

• The altitude is twice the corresponding base .

$\sf{\huge{\underline{\orange{To\:Find :-}}}}$

• The base and the altitude .

$\sf{\huge{\underline{\green{Answer :-}}}}$

Let us consider the base be x.

The altitude be 2x

We have, The area of a parallelogram is 338 metre square. ____{1}

As we know, The area of a parallelogram is l × b ____{2}

From eqn. 1 & 2

➝ l × b = 338

➝ x × 2x = 338

➝ 2x² = 338

➝ x² = 338 / 2

➝ x² = 169

➝ x = √169

➝ x = √13 × 13

➝ x = 13

The base is x. = 13m

The altitude is 2x = 2 × 13 = 26m