Question

) If the area of a parallelogram is 54 cm² and the length of one side is 7.5 cm, then find the corresponding height?
(with solution)
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Answer 1

Answer:

Given :-

• The area of a parallelogram is 54 cm² and the length of one side is 7.5 cm.

To Find :-

• What is the corresponding height.

Formula Used :-

$\bigstar$ Area Of Parallelogram Formula :

$\mapsto \sf\boxed{\bold{\pink{Area_{(Parallelogram)} =\: Base \times Height}}}$

Solution :-

Let,

➲ Height = x cm

Given :

• Area = 54 cm²
• Base = 7.5 cm

According to the question by using the formula we get,

$\implies \sf 54 =\: 7.5 \times x$

$\implies \sf 54 =\: 7.5x$

$\implies \sf \dfrac{54}{7.5} =\: x$

$\implies \sf 7.2 =\: x$

$\implies \sf\bold{\red{x =\: 7.2\: cm}}$

$\therefore$ The corresponding height of a parallelogram is 7.2 cm .

VERIFICATION :-

$\bigstar\: \: \sf\bold{\purple{Area_{(Parallelogram)} =\: Base \times Height}}$

Given :

• Area = 54 cm²
• Base = 7.5 cm

$\leadsto \sf 54 =\: 7.5 \times x$

By putting x = 7.2 we get,

$\leadsto \sf 54 =\: 7.5 \times 7.2$

$\leadsto \sf\bold{\green{54 =\: 54}}$

Hence Verified !

Answer 2

We have,

• Base(b) = 7.5cm
• Area of parallelogram = 54 cm²
• Height(h) = ??

We know that,

• Area of parallelogram = b × h
• h = Area of parallelogram/b
• h = 54 cm²/7.5cm
• h = 54 × 10/75
• h = 540/75
• h = 7.2cm

Therefore, the corresponding height is 7.2cm.