Question

The area of parallelogram $PQRS$ is $88{\text{cm}}^2$. A perpendicular from $S$ is drawn to intersect $PQ$ at $M$. If $SM=8\text{cm}$, then find the length of $PQ$.

Answer 1

R.E.F image

Area (ABCD) = 88 $c{m}^2$

Extending it to

'T'

Hence, the area

of parallelogram

will be equal to area of rectangle

SRTM.

$\therefore$ $Area=88=SM\times MT=8\times MT$

MT= 11 cm

also, PQ = MT = 11 cm.