Question

ABCD is a parallelogram in which AB=10cm and its perimeter is 30 cm. Find the length of each side of the parallelogram.

Answer 1

Heya ✋

Let see your answer !!!!

Given that

AB = 10 cm

Perimeter of a parallelogram = 30 cm

Other sides = ?

Solution

We know that the opposite sides of a parallelogram are equal.

AB = CD = 10 cm

BC = AD

Perimeter of parallelogram = Sum of all sides

=> 30 = AB + CD + BC + AD

=> 30 = 10 + 10 + BC + BC

=> 30 = 20 + 2BC

=> 30 - 20 = 2BC

=> 10 = 2BC

=> BC = 10/2

=> BC = 5 cm

Hence , AD = BC = 5 cm.

So , the sides of a parallelogram are 10 cm , 5cm , 10 cm and 5 cm.






Thanks :)))

Answer 2

Answer:

Given

AB = 10 cm

Perimeter of the parallelogram = 30 cm

Other sides = ?

Solution

We know that the opposite sides of a parallelogram are equal

AB = CD = 10 cm

BC = AD

Perimeter of parallelogram = Sum

of all sides

= 30 = AB + CD + BC + AD

= 30 = 10 + 10 + BC + BC

= 30 = 20 + 2BC

= 30 - 20 = 2BC

= 10 = 2BC

= BC = 10/2

= BC = 5

Hence , AD = BC = 5 cm

So , the sides of a parallelogram are 10 cm , 5 cm , 10 cm , 5 cm

Thank you