Question

Perimeter of a parallelogram shaped land is 96 cm and its area is 270 square metres. If one of the sides of this land is 18m, find the length of the other side. Also, find the lengths of altitude l and m.​

Answer 1

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

Answer 2

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