the height of rhombus is 1/3of its base if the area of rhombus is 108 cm^2 find the base and height
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Let the height of the parallelogram be h cm and base be b cm.
According to the question h=
3
1
b
Area of parallelogram =base × height
b×h=192
⇒b×
3
1
b=192
⇒b
2
=192×3
⇒b
2
=576
⇒b=
576
⇒b=24cm
But given h=
3
1
b
⇒h=
3
1
×24
⇒h=8cm
Height of the parallelogram =h=8cm
Base =b=24cm.
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