Question

Height of a parallelogram whose area is 4500 square cm and base is 150 cm.​

Answer 1

⛦ Given :

• Area of parallelogram = 4500 cm²
• Base of parallelogram = 150 cm

⛦ To find :

• The Height of the parallelogram .

⛦ Solution :

As we know that,

Area of parallelogram = base × height

Putting the values,

⟼ 4500 = 150 × height

⟼ height = 4500/150

⟼ height = 30 cm

Therefore,

The height of parallelogram is 30 cm

Check :

Area of parallelogram = base × height

→ 4500 = 150 × 30

→ 4500 = 4500

Thus, L.H.S. = R.H.S

Hence, Checked

Answer 2

$\mathfrak{ \large{ \pink{ \underline{ \purple{ Correct \: Question:}}}}}$

What is the Height of a parallelogram whose area is 4500 square cm and base is 150 ccm?

$\mathfrak{ \large{ \pink{ \underline{ \purple{ Given: }}}}}$

• Area of parallelogram = 4500 cm²
• Base of parallelogram = 150 cm

$\mathfrak{ \large{ \pink{ \underline{ \purple{ To \: Find: }}}}}$

• Height of the parallelogram

$\mathfrak{ \large{ \pink{ \underline{ \purple{ Solution: }}}}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \mathfrak{ \underline{ \underline{ \green{Formula \: to \: calculate \: the \: area \: of \: parallelogram}}}}$

$\boxed{ \boxed{ \mathfrak{ \star \: \: \: \: \: { \large{ \red{area = base \times height}}}}}}$

According to question,

$\large{ \sf \longmapsto \: \: \: \: \: \: \: 150 \times height = 4500}$

$\large{ \sf \longmapsto \: \: \: \: \: \: \: height = \cancel \frac{4500}{150} }$

$\large{ \sf \longmapsto \: \: \: \: \: \: \boxed{ \boxed{ \orange{ \mathfrak{ height = 30 \: cm}}}}}$

$\mathfrak{ \large{ \pink{ \underline{ \purple{ Hence:}}}}}$

The height of parallelogram is 30 cm.