Question

The perimeter of a sqaure is twice of the perimeter of a triangle with each side28cm,22cm,22cm.what is the side of the sqaure

Answer 1

Answer:

36 cm.

Step-by-step explanation:

First side of the Triangle: 28 cm.

Second side of the Triangle: 22 cm.

Third side of the Triangle: 22 cm.

Perimeter of the Triangle: Sum of sides

→ 28 + 22 + 22

→ 72 cm.

{Given: 2 × Perimeter of Triangle = Perimeter of Square.}

→ 2 × 72

→ 144 sq. cm.

Side of square: Let it be x.

Perimeter of Square: (4s) unit

→ 4x = 144

{Transposing 4 to RHS...}

→ x = 144/4

→ x = 36

Side of the Square: 36 cm.

Hence, the side of the Square is 36 cm.

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Answer 2

$\huge\mathbb{SOLUTION:-}$

$\sf\underline{\blue{\:\:\:\:Given:-\:\:\:\:\:}}$

Perimeter of square=2*Perimeter of triangle

Now

$\sf\underline{\pink{\:\:\:\: Solution:-\:\:\:\:\:}}$

$\boxed{\sf{Perimeter\:of \triangle=sum\:of\:all\: sides}}$

$\bold{Given:-}\begin{cases}\sf{Sides\:of\: triangle}\\ \sf{ 28cm,\:\:22cm,\:\:22cm}\end{cases}$

$\sf\implies Perimeter\:of\: triangle=(28+22+22)cm\\ \\ \sf\implies {\purple{Perimeter\:of\: triangle=72cm}}$

Now the perimeter of square

$\sf\implies Perimeter\:of\:square =2\times 72cm\\ \\ \sf\implies Perimeter\:of\:square =144cm$

• Now we have to find the side of square

$\boxed{\sf{Perimeter \:of\:square=4\times side}}$

$\sf\implies 144=4\times side\\ \\ \sf\implies \cancel{\dfrac{144}{4}}=side\\ \\ \sf\implies 36=side$

The side of square is 36cm