Question

two adjacent side of a parallelogram are 24 cm and 18 cm . If the distance between the longer sides is 12 cm, find the distance between shorter side .

Answer 1

Answer:

16 cm

Step-by-step explanation:

area of parallelogram= base *height

given data,

height(h) = 12 cm

base(b) = 24 cm

then,

area of parallelogram =(24*12) cm^2

=288 cm^2

area of parallelogram=base*height

let height be 'x'

then, base =18 cm

thus

area of parallelogram=18*x

288=18x

x=288/18

x=16

hence, height = x = 16cm

Answer 2

Let take 24 cm as the base of parallelogram, then its height is 12 cm.

We know that,

Area of parallelogram = base × height

= 24 × 12 = 288 cm2

Let’s consider d cm to be the distance between the shortest sides.

∴ Area of parallelogram = (18 × d) cm2

18 × d = 288

⇒ d = 288/18 = 16 cm

Therefore, the distance between the shorter sides is 16 cm.

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