Question

the area of a parallelogram is 50 metres square. if the base is 10 cm find its corresponding height

Answer 1

Given -

• Area of parallelogram is 50 m²

• Length of base is 10 cm

To find -

• It's corresponding height

Formula used -

• Area of parallelogram

Solution -

In the question, we are provided with the area and the base of a parallelogram, and we need to find it's corresponding height, for that, so first, we will convert, the base into m after that, we will take height as H, then we will divide the area with base, to get our height. Let's do it!

So -

Let the height be H

Area of parallelogram, A = 50 m²

Base of parallelogram, B = 10 cm = 0.1 m

Area of parallelogram -

$\tt \longrightarrow \: A \: = \: B \: \times \: H$

On substituting the values -

$\tt \longrightarrow \: A \: = \: B \: \times \: H \\ \\ \tt \longrightarrow \: 50 { \: m}^{2} \: = 0.1 \: \times \: H \: \: \\ \\ \tt \longrightarrow \: H \: = \dfrac{50}{0.1} \\ \\ \tt \longrightarrow \: H \: = 500 \: m$

Verification -

$\tt \: A \: = \: B \: \times \: H \\ \\ \tt \: 50 { \: m}^{2} \: = 0.1 \: m \: \times \: 500 \: m \\ \\ \tt \: 50 { \: m}^{2} \: = 50 { \: m}^{2}$

$\therefore$ The corresponding height is 500m

___________________________________________

Answer 2

⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━

${\large{\sf{\underline{Understanding \; the \; Question}}}}$

★ This question says that the area of a parallelogram is 50 metres² , the base is 10 cm we have to find it's corresponding height.

${\large{\sf{\underline{Given \; that}}}}$

★ Area of parallelogram = 50 m²

★ Base of parallelogram = 10 cm

${\large{\sf{\underline{To \; find}}}}$

★ Corresponding height of parallelogram

${\large{\sf{\underline{Solution}}}}$

★ Corresponding height of parallelogram = 500 centimetres

⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━

${\large{\sf{\underline{Using \; concepts}}}}$

★ Formula to change metres into centimetres.

★ Formula to find area of parallelogram

${\large{\sf{\underline{Using \; formulas}}}}$

★ 1 metres = 100 cm

★ Area of parallelogram = Base × Height

⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━

${\large{\sf{\underline{Full \; Solution}}}}$

~ As it's given that the area of a parallelogram is 50 metres² , the base is 10 cm we have to find it's corresponding height. Means the units are in "cm" and "m", in shorts we have to convert one of them into same unit. Let's convert m into cm first then we have to put the values according to the formula to find area of parallelogram.

Converting metres into centimetres -

↝ 1 m = 100 cm

↝ 50 m = (50 × 100) cm

↝ 50 m = 5000 cm

${\frak{\underline{Henceforth, \: 5000 \: cm \: is \: the \: changed \: unit}}}$

${\frak{\underline{And \: means \: 5000 \: cm \: is \: area \: of \: parallelogram}}}$

Now let's put the values according to the using formula -

↝ Area of parallelogram = Base × Height

↝ 5000 = 10 × Height

↝ 5000/10 = Height

↝ 500 = Height

↝ Height = 500 cm.

${\frak{\underline{Henceforth, \: 500 \: cm \: is \: corresponding \: height \: here}}}$

⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━

${\large{\sf{\underline{Additional \; knowledge}}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Area \: of \: rectangle \: = \: Length \times Breadth}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Perimeter \: of \: rectangle \: = \:2(length+breadth)}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Perimeter \: of \: square \: = \: 4 \times sides}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Area \: of \: square \: = \: Side \times Side}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Area \: of \: triangle \: = \: \dfrac{1}{2} \times breadth \times height}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Area \: of \: paralloelogram \: = \: Breadth \times Height}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Area \: of \: circle \: = \: \pi b^{2}}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Perimeter \: of \: triangle \: = \: (1st \: + \: 2nd \: + 3rd) \: side}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Perimeter \: of \: paralloelogram \: = \: 2(a+b)}}}$

⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━