Question

find the area of a parallelogram PQRS 24cm and QU ST 8cm​

Answer 1

Given :-

• Find the area of a parallelogram PQRS,if PR=24 cm and QU=ST=8 cm.

To Find :-

The Area Of The Parallelogram PQRS

Formula Used :-

$\bigstar$ Using Base and Height :

$\dashrightarrow \sf\boxed{\bold{\pink{A = b × h}}}$

Solution :-

Given Equation :

• PR = 24cm

• QU=ST=8cm

$\small\sf\implies \: Area \: Of \: The \: Triangle \: PQR = \frac{1}{2}$

$\small\sf\implies \frac{1}{2} ÷24÷8$

$\small\sf\implies96cm^{2}$

$\small\sf\implies \: Now \: In \: Triangle \: PQRS$

➝ ST = 8cm

➝ PR = 24cm

$\small\sf\implies \: Area \: Of \: The \: Triangle \: PRS= \frac{1}{2}$

$\small\sf\implies \frac{1}{2} ÷24÷8$

$\small\sf\implies96cm^{2}$

$\small\red{ \boxed{\sf{Area \: Of \: Parallelogram=Area \: Of \: \: Triangle \: PQR+ Area \: Of \: Triangle \: PRS}}}$

So, The Area Of The Parallelogram

$\sf\therefore=96+96=192 cm²$

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃