Question

the adjacent sides of a parallelogram are 15cm and 8 cm.if the distancee between the longer sides is 4cm, find the distance between the shorter sides​

Answer 1

GivEn :

• Longer Side of the parallelogram = 15 cm

• Smaller side of the parallelogram = 8 cm

• Distance between longer the longer sides = 4 cm

To find :

• Distance between the smaller sides = ?

SoluTion :

According to the area of parallelogram,

• Case - 1 [Longer side]

$:\implies\sf \: \: \: Area = Base \times Height$

$:\implies\sf \: \: \: Area = 15 \times 4$

$:\implies\sf \: \: \: { \underline{ \boxed{ \sf{ \purple{Area = 60 \: {cm}^{2}}}}}} \: \bigstar$

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• Case - 2 [Smaller side]

$:\implies\sf \: \: \: Area = Base \times Height$

$:\implies\sf \: \: \: 60 = 8 \times Height$

$:\implies\sf \: \: \: Height = \dfrac{60}{8}$

$:\implies\sf \: \: \: { \underline{ \boxed{ \sf { \orange{Height = 7.5 \: cm}}}}} \: \bigstar$

Hence, distance between shorter side's, i.e. , height is 7.5 cm.

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✩ Additional information :

• Area of a parallelogram is the region covered by the it in a 2D space .

• It is given by,

$\dag \large \: { \boxed{ \rm{A = B \times H}}}$

where,

• B = Base

• H = Height

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Answer 2

Answer:

Hi !

Area of the parallelogram = base x height

= 10 x 4

= 40 m^2

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Shorter side = 8 m

Area of parallelogram = 8 x h

40 = 8h

h = 5 m

Distance between the shorter sides = 5 meter