area and perimeter is 270 metre square and 96 meter. if one side of a parallelogram is 18 metre .find the length of other side and also find the altitude.
above is the parallelogram drawing
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Given,
Perimeter of parallelogram =96m
Area of parallelogram =270sq.m
In parallelogram ABCD
AB=CD=18m and AD=BC
As we know perimeter one parallelogram ABCD=AB+BC+CD+AD
⇒96=18+AD+18+AD
⇒96=36+2AD
⇒AD=BC=
2
60
=30m
Now, area of parallelogram ABCD,
⇒270=AB×DE
⇒DE=
18
270
⇒DE=15m
∴m=15 m
Also, area of parallelogram ABCD,
⇒270=30×l
⇒l=
30
270
⇒l=9m
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Step-by-step explanation:
Area = 270 m²
Perimeter = 96 m
Finding the other sides
96 = 2×18 + 2x
96 = 36 + 2x
96-36 = 2x
60 = 2x
30 =x
Hoping that 30m is for the base
Finding the altitude(H),
H = 270÷30
= 9m
Hope you have understood this answer
If yes make my answer as brainliest
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