Question

The area of a parallelogram is 72 sq cm, if its altitude is twice the corresponding
base, then the base ?​

Answer 1

Answer:

• base is 6cm

Given:

• The area of parallelogram is 72 cm²

To find :

• base

Solution:

• Let altitude be a

• let base be b

Given that the area of parallelogram is 72 cm²

• And also Given that altitude is twice the base so,
• a = 2b

As we know that formula of parallelogram:

• Area of parallelogram = lb

where

• l is length and b is breadth l is 2b b is b

● 2b × b = 72

● 2b² = 72

● b² = 72 /2

● b² = 36

● b = √36

● b = 6 cm

Hence base is 6cm

Explanation more:

• parallelogram is nothing but a Quadrilateral two pairs of parallel side
• parallelogram is a plane figure , a closed shape , a Quadrilateral

properties of parallelogram

• The opposite sides are parallel
• The opposite sides are congruent as a equal length
• The opposite angles are equal to each other

Answer 2

Given:-

• The area of a parallelogram is 72sq.cm.

• It's altitude is twice the corresponding base.

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To Find:-

• Find the base of the parallelogram.

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Concept:-

• Let's go through the concept first. Concept used here is Area of a Parallelogram.Substitute the given values in the equation by taking the unknown number,find its value.Lets do it.

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Formulae Applied:-

• Area of a Parallelogram = Base × Height

⠀

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Solution:-

Given that,

The area of a parallelogram is 72sq.cm.

It's altitude is twice the corresponding base.

Let the base be x.

Let its altitude be 2 × x = 2x

According to the question we have,

Area of a Parallelogram = Base × Height

⟹ Base × Height

⟹ Base × Height = 72

⟹ 2x × x = 72

⟹ 2x^2 = 72

⟹ x^2 = 72/2

⟹ x^2 = 36

⟹ x = √36

⟹ x = 6

⟹ x = 6cm

Hence,

The base of the parallelogram is 6cm.

⠀

Verification:-

Base × Height = 72

Base = 6cm

⟹ 2x × x = 72

⟹ 2 × 6 × 6 = 72

⟹ 12 × 6 = 72

⟹ 72 = 72

⟹ LHS = RHS

Hence,

It is verified.

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