Question

If area of
parallelogram is 59.2 sq cm and
its base is 8 cm, find its height:​

Answer 1

Answer :-

• The height of the parallelogram is 7.4 cm.

Given :-

• The area of a parallelogram is 59.2 cm².

• Its base is 8 cm.

To find :-

• It's height.

Step-by-step explanation :-

• In this question, the area of a parallelogram and it's base have been given to us. We have to find it's height.

We know that :-

$\underline{ \boxed{\sf Area \: \: of \: a \: parallelogram = Base \times Height}}$

Here,

• Area = 59.2 cm².
• Base = 8 cm.

• Let the height be h.

-------------------

$\underline{\underline{\mathfrak{Substituting \:given\: values \:in \:formula,}}}$

$\sf59.2 = 8 \times h$

Multiplying 8 with h,

$\sf59.2 = 8h$

Transposing 8 from LHS to RHS, changing it's sign,

$\sf \dfrac{59.2}{8} = h$

Dividing 59.2 by 8,

$\overline{\boxed{\sf7.4 \: cm = h}}$

-------------------

• Hence, the height of the parallelogram is 7.4 cm.

-----------------------------------------------------------

More about parallelogram :-

• A parallelogram has two pairs of opposite sides which are equal and parallel.

• Any side can be taken as the base of the parallelogram. The perpendicular dropped on that side from one of the opposite vertex is known as the corresponding height of the parallelogram.

Note :- The diagonals of a parallelogram bisect each other.

Answer 2

Step-by-step explanation:

Given - Area of parallelogram = 59.2 sq. cm

Base of parallelogram = 8cm

To find - Height of parallelogram

Solution -

Area Of Parallelogram = Base × Height

59.2 = 8 × height

Height = 59.2/8

= 7.4 cm

Ans. - Height of parallelogram is 7.4 cm