Question

one side of a parallelogram is 15 cm and the perpendicular distance of this side from opposite side is 5.2cm. The area of the parallelogram is

a. 76 sq.cm
b. 86 sq.cm
c. 78 sq.cm
d. 72 sq.cm​

Answer 1

☆ Given :

• Length of one side of parallelogram is 15 cm
• The perpendicular distance of the side from opposite side is 5.2 cm.

☆ To find :

• The area of the parallelogram.

☆ Solution :

As we know that,

★Area of parallelogram = base×height★

Here,

Base = 15 cm

And the height = 5.2 cm

A/Q

⟼ Area (parallelogram) = 15 × 5.2

⟼ Area (parallelogram) = 78 cm²

Thus,

• The area of the parallelogram is 78 sq. cm

[Option c.78 sq. cm is correct]

More Information :

In a parallelogram :

• Both the pairs of opposite angles are parallel and are equal.
• Both pairs of opposite angles are equal.
• The diagonals bisect each other.

Answer 2

Given: The length of one side of parallelogram is 15cm. The perpendicular distance of the side from opposite side is 5.2cm.

Need to find: Area of parallelogram ?

❏ Here we are asked to find the area of parallelogram. So here we use the formula of area of parallelogram.

‎

__________________

‎

$\frak{\underline{\underline{\dag As\ we\ know\ that:-}}}$

‎

‎

$\star\;\boxed{\sf{\pink{Area_{(parallelogram)}\ =\ base\ \times\ height.}}}$

‎

$\bf {Here} \begin{cases} &\sf{Base\ =\ 15cm.} \\ &\sf{Height\ =\ 5.2cm.} \end{cases}$

‎

Therefore,

‎

$\sf : \implies {Area\ =\ base\ \times\ height} \\ \\ \\ \sf : \implies {Area\ =\ 15\ \times\ 5.2} \\ \\ \\ \sf : \implies {\underline{\boxed{\purple{\bf Area\ =\ 78cm^2.}}}}\bigstar$

‎

$\sf \therefore {\underline{Hence,\ the\ correct\ option\ is\ \bf c).\ 78cm^2.}}$

‎

$\begin{gathered}\begin{gathered}\begin{gathered}\qquad\qquad\boxed{\bf{\mid{\overline{\underline{\pink{\bigstar More\ to\ know \bigstar}}}}}\mid}\\\\\end{gathered}\end{gathered}\end{gathered}$

‎

❏ Properties of parallelogram:-

‎

• Opposite sides are parallel and congruent.
• Opposite angles are congruent.
• The consecutive angles are supplementary.
• The diagonals bisect each other.
• If one angle of a parallelogram is right angle, then all the other angles will be right angle.