Question

PQRS is a parallelogram, SL is perpendicular to PQ and SM is perpendicular to QR. If PQ = 12cm, PS = 8cm and SL = 6cm, find SM.

plz give steps.

Answer 1

Here is your answer....


hope it help you...

Answer 2

The length of SM of given parallelogram PQRS is 9 cm.

Step-by-step explanation:

Given,

PQRS is a parallelogram, in which SL ⊥ PQ and SM ⊥ QR.

And also given that PQ = 12cm, PS = 8cm and SL = 6cm.

We have to find out SM.

For this we will use the formula of area of parallelogram.

$Area=base\times height$

Here we take PQ as base and SL is the height.

So,

$Area = 12\times 6=72\ cm^2$

Since the opposite sides of a parallelogram are equal in length.

So, PS = QR = 8 cm

Again we use the formula of area of a parallelogram.

But this time  we take QR as base and SM is the height.

$Area =QR\times SM\\\\8\times SM=72\\\\SM=\frac{72}{8}=9\ cm$

Hence The length of SM of given parallelogram PQRS is 9 cm.