Question

if the base and height of the parallelogram are in the ratio 7:3 and the height is 45cm then,find the area of the parallelogram?​

Answer 1

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Given

• Ratio of base and height is 7:3
• Height = 45cm

To Calculate

• Area of parallelogram

Solution

Let the Base of parallelogram be 7x

Then, Height of parallelogram will be 3x

Height of parallelogram = 45cm

$\bf \implies 3x = 45$

$\bf \implies x = 45 \div 3$

$\bf \implies x = 15cm$

$\bf Base \: of \: parallelogram = 7x$

$\bf \implies Base = 7 \times 15$

$\bf \implies = 105cm$

$\bf Area \: of \: parallelogram$

$\bf = Base × Height$

$\bf = 105cm \times 45cm$

$\bf= 4725 {cm}^{2}$

Therefore, Area of parallelogram is 4725cm².

Answer 2

Answer :

›»› The area of the parallelogram is 4725 cm².

Given :

• The base and height of the parallelogram are in the ratio 7:3 and the height is 45cm.

To find :

• The area of the parallelogram?

Solution :

Let us assume that, the base of the parallelogram is x cm.

→ x : 45 = 7 : 3

→ x : 15 = 7 : 1

→ x = 15 * 7 * 1

→ x = 105 * 1

→ x = 105

Now,

As we know that

→ Area of parallelogram = base * height

→ Area of parallelogram = 105 * 45

→ Area of parallelogram = 4725

Hence, the area of the parallelogram is 4725 cm².

Verification :

→ Area of parallelogram = base * height

→ 4725 = 105 * 45

→ 4725 = 4725

Here, LHS = RHS

Hence Verified !