Question

The area of a parallelogram is 450 sq.cm and base=15 cm what is the height of the parallelogram?

Answer 1

GIVEN :-

• The area of parallelogram is 450 cm².
• The base of parallelogram is 15 cm.

TO FIND :-

• The Height of parallelogram

SOLUTION :-

$\dag \: \boxed{ \boxed{ \bf\red {Base (B) = \frac{Area(A)}{height(h)}}}}$

$\implies \tt \: \orange{ base\: } = \frac{450}{15} \\ \\ \implies \tt \blue{base} = 30 \: cm$

Hence base of parallelogram is 30 cm

VERIFICATION :-

$\dag \boxed{ \boxed {\red{ \bf \: area \: = base \: \times height}}}$

$\implies \tt \: 30 \: \times 15 \: = \orange {450 \: } \\ \\ \implies \tt \: \blue{450} \: = \red{450}$

$\implies \bf \: \orange {L.H.S = R.H.S}$

$\boxed{ \underline{ \red{\bf \: HENCE \: \:VERIFIED }}}$

ADDITIONAL INFORMATION :-

$\boxed{\begin{minipage}{6cm} \\ \bf{\underline{ For \; Parallelogram }} \\ \\ \tt{ Opposite angles are equal }\\ \\ \tt{ Opposite sides are equal } \\ \\ \tt{ Sum of all angles is {360}^{\circ} } \\ \\ \tt{ Diagonals bisect each other in equal parts } \end{minipage}}$

Answer 2

Answer:

Hence, value of height of parallelogram will be 30 cm

Step-by-step explanation:

In context to question asked,

We have to determine the height of parallelogram.

As per data given,

We have,

Area of parallelogram = 450 Sq. cm.

Base of parallelogram = 15 cm

As we know that,

We have formula for finding the finding parallelogram is,

$Area = b \times h$

So, for finding the value of height we will put the value given in the question in above formula,

Hence, we will get,

$Area= b \times h\\=>450 = 15 \times h\\=>h = \frac{450}{15}\\=>h = 30\:cm$