Question

if the area of parallelogram is 120sq cm and its base is 15cm. find its height.​

Answer 1

Step-by-step explanation:

Given:-

the area of parallelogram is 120sq cm and its base is 15cm.

To find:-

find its height.

Solution:-

Base of the Parallelogram (b)=15 cm

Area of the paralellogram (A)=120 sq.cm

Let the height of the Parallelogram = h cm

Area of the paralellogram=bh sq.units

=>A=bh sq.units

=>120=15×h

=>h×15=120

=>h=120/15

=>h=8 cm

Therefore ,h=8 cm

Answer:-

Height of the given Parallelogram=8 cm

Used formula:-

• Area of a Parallelogram =bh sq.units

where, b=base of the paralellogram

and. h=height of the paralellogram

Answer 2

Given : Area and base of a parallelogram are 120cm² and 15cm respectively.

To Find : Height of the parallelogram.

⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀_______________

Here

$\: \:$

• Area of the parallelogram = 120cm²
• Base of the parallelogram = 15cm

$\: \:$

As we know that :

$\: \:$

$</p><p>\underline{\boxed{\sf\purple{\bigstar \: area \: of \: a \: parallelogram \: = b\times h }}}$

$\: \:$

Where

$\:$

• b denotes base of the parallelogram.
• h denotes height of the parallelogram.

$\: \:$

Put the values and solve -

$\: \:$

$\sf:\implies \: area \: of \: the \: parallelogram \: = b \times h \\ \\ \\ \sf:\implies \: 120 = 15 \times h \\ \\ \\ \sf:\implies \: 120 = 15 h \\ \\ \\ \sf:\implies \: h = \frac{120}{15} \\ \\ \\ \sf:\implies \: h = \cancel \frac{120}{15} \\ \\ \\ \sf:\implies \: h = \underline{\boxed{\sf\purple{8cm}}}\bigstar \\ \\ \\ \\ \sf\therefore{\underline{Hence, \: the \: height \: of \: the \: parallelogram \: is \: \bold{8cm}}}$