Question

the area of parallelogram whose altitude is 12cm is 336cm² determine the corresponding altitude​

Answer 1

Solution

Given :-

• Area of parallelogram = 336 cm².
• Altitude of parallelogram (Height) = 12 cm.

Find :-

• Length of corresponding altitude ( Length Base).

Explantion

Let,

ABCD be , parallelogram , AE be altitude on CD .

Where,

• AE = 12 cm

Using Formula

$\boxed{\underline{\tt{\red{\:Area_{parallelogram}\:=\:(Base)\times (Height)}}}}$

Or,

$\boxed{\underline{\tt{\green{\:Base\:=\:\dfrac{(Area_{parallelogram})}{Height}}}}}$

Keep required values,

==> Base = 336/12

==> Base = 28 cm.

Hence

• Corresponding altitude (Base) of parallelogram will be = 28 cm.

____________________

Answer Verification

We Have,

★ Base = (Area of parallelogram)/(Height)

Keep values,

==> 28 = 336/12

==> 28 = 28

L.H.S. = R.H.S.

That's Proved.

_______________________

Answer 2

$\huge\boxed{\fcolorbox{white}{pink}{Answer:⇢}}$

⠀⠀⠀

Solution :-

Given :-

• Area of parallelogram = 336 cm².

• Altitude of parallelogram (Height) = 12 cm.

⠀⠀⠀

To Find :-

• Length of corresponding altitude ( Length Base).

⠀⠀⠀

Explantion :-

Let..,

• ABCD be parallelogram ,
• AE be altitude on CD .
• Where, AE = 12 cm

⠀⠀⠀

Using Formula :-

$\boxed{\underline{\tt{\orange{\:Area { \: \: of \: parallelogram}\:=\:(Base)\times (Height)}}}}$

⠀⠀⠀

Then.,

$\boxed{\underline{\tt{\red{\:Base\:=\:\dfrac{(Area{ \: of \: parallelogram})}{Height}}}}}$

⠀⠀⠀

Keep required values,

• ⇢ Base = 336 ÷ 12

• ⇢ Base = 28 cm.

⠀⠀⠀

Hence.,

• Corresponding altitude (Base) of parallelogram will be = 28 cm.

__________________⠀⠀⠀

Verification :-

⠀⠀⠀

We Have.,

• ★ Base = (Area of parallelogram) / (Height)

⠀⠀⠀

Keep values,

• ⇢ 28 = 336/12

• ⇢ 28 = 28

• ⇢ L.H.S. = R.H.S.

That's Proved ✔

_________________________