Question

The perimeter of a parallelogram is 80 m.
If the longer side is 10 m greater than the
shorter side, find the lengths of the sides
of the parallelogram.​

Answer 1

Answer :

• The Sides of the parallelogram are 15 m and 25 m.

Explanation :

Given :

• Perimeter of the parallelogram, P = 80 m.
• Longer side is 10 m greater than the shorter side.

To find :

• The sides of the parallelogram.

Solution :

Let the shorter side of the Parallelogram be x m.

According to the question, the longer side of parallelogram is 10 m longer than the shorter side of the parallelogram.i.e,

⠀=> Longer side of the parallelogram = shorter side of the triangle + 10

⠀⠀=> Longer side = (x + 10) m

Hence the longer side of the parallelogram is (x + 10) m.

Now by using formula for perimeter of a parallelogram and substituting the values in it, we get :

⠀⠀=> P = 2(l + b)

⠀⠀=> 80 = 2(x + 10 + x)

⠀⠀=> 80 = 2(2x + 10)

⠀⠀=> 80 = 4x + 20

⠀⠀=> 80 - 20 = 4x

⠀⠀=> 60 = 4x

⠀⠀=> 60/4 = x

⠀⠀=> 15 = x

⠀⠀⠀∴ x = 15 m

Shorter side of the triangle is 15 m

Longer side of the parallelogram is 25 m.(x + 10)

Answer 2

Answer:

Given :-

• The perimeter of a parallelogram is 80 m. The longer side is 10 m greater than the shorter side.

To Find :-

• What is the length of the sides of the parallelogram.

Formula Used :-

✯ Perimeter = 2(Length + Breadth) ✯

Solution :-

Let, the shorter side be x

And, the longest side will be x + 10

Perimeter of the parallelogram is 80 m

According to the question by using the formula we get,

⇒ 2(x + x + 10) = 80

⇒ 2x + 2x + 20 = 80

⇒ 4x = 80 - 20

⇒ 4x = 60

⇒ x = 60 ÷ 4

➠ x = 15

Hence, the required sides will be,

✧ Shorter side = x = 15 m

✧ Longest side = x + 10 = 15 + 10 = 25 m

∴ The length of the sides of the parallelogram is 15 m and 25 m respectively.

Let's Verify :-

↦ 2(x + x + 10) = 80

Put x = 15 we get,

↦ 2(15 + 15 + 10) = 80

↦ 30 + 30 + 20 = 80

↦ 80 = 80

➦ LHS = RHS

Hence, Verified ✔