Question

Find the length of the base of a parallelogram if its area is 24 mº and the corresponding height is 8 m.​

Answer 1

Correct Question :

Find the length of the base of a parallelogram if its area is 24 m² and the corresponding height is 8 m.

Given :

• Height of a prallelogram = 8 m
• Area of the parallelogram = 24 m²

To Find :

• The length of the base of parallelogram

Solution :

Area of a parallelogram is given by ,

$\\ \star \: {\boxed{\sf{\purple{Area= base \times height}}}}$

We have ,

• Area = 24 m²
• Height = 8 m

Substituting the values ,

$\\ : \implies \sf \: 24 \: {m}^{2} = Base \times 8 \: m$

$\\ : \implies \sf \: Base = \frac{24 \: m {}^{2} }{8 \: m}$

$\\ : \implies\underline{\boxed{\pink{\mathfrak{\:Base = 3 \: m}}}} \: \bigstar$

Hence ,

• The length of base of the given parallelogram is 3 m.

Answer 2

Answer:

Given :-

• Area of a parallelogram is 24 m² and its corresponding height is 8 m.

To Find :-

• What is the length of the base.

Formula Used :-

To find length of a base we know that,

$\boxed{\bold{\large{Area\: =\: Base\: \times Height}}}$

Solution :-

Given :

• Area = 24 m²
• Height = 8 m

According to the question by using the formula we get,

⇒ 24 = Base × 8

⇒ $\dfrac{24}{8}$ = Base

⇒ $\dfrac{\cancel{24}}{\cancel{8}}$ = Base

➠ Base = 3 m

$\therefore$ The length of the base of a parallelogram is 3m .