the height of a parallelogram is one third of its base.if the area of the parallelogram is 192 cm2 find its height and base
Answers
Answered by
2
Hlo !!
Solution:-
Let the base of the || gm be x
so height =1/3 x
we know that ,
Area of a || gm=Base × Height
192 cm^2=x×1/3x
192 cm^2=x^2/3
x^2/3=192 cm^2
x^2=192×3 cm^2
x=√576cm^2
x=24 cm
Hence , base =x=24 cm.
Height =1/3×24
=8 cm
Hope it helped.
Solution:-
Let the base of the || gm be x
so height =1/3 x
we know that ,
Area of a || gm=Base × Height
192 cm^2=x×1/3x
192 cm^2=x^2/3
x^2/3=192 cm^2
x^2=192×3 cm^2
x=√576cm^2
x=24 cm
Hence , base =x=24 cm.
Height =1/3×24
=8 cm
Hope it helped.
Answered by
5
Answer:
height = 8 cm
base = 24 cm
Step-by-step explanation:
take the height as x cm and base as 3x cm
the we know that area of parallelogram is base × height
so => x × 3x = 192
=> 3x² = 192
=> x² = 192 / 3
=> x² = 64
=> x = √64
∴ x = 8
base = 3x =3 × 8 = 24 cm
height = x = 8 cm
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