Question

In a parallelogram ABCD, AB= 6 cm, AD= 5cm, and distance between longer sides is 4 cm. Find the distance between the shorter sides.

Answer 1

Answer:

4.8 cm

Step-by-step explanation:

First we will draw a parallelogram ABCD

Opposite sides of parallelogram are equal

So AB = DC

So, DC = 6 cm

AD= BC

BC = 5cm

Draw a perpendicular from angle B which fall on AC

Name it as G

Now, BG will be the longer side

BG = 4 cm ( height)

So area of parallelogram = base ×height

= 6cm ×4cm

= 24 cm^2

Draw a perpendicular from angle D which will fall on BC

Name it as F

DF =? (height)

Let DF be x

Area of parallelogram = base ×height

24 cm^2 = 5cm × x

24 cm^2 /5 cm = x

X= 4.8 cm

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