Question

4. Find the length of the side of a square whose perimeter is equal to the perimeter of a rece
(b) length = 19 m, breadth = 21 m​

Answer 1

Answer:

perimeter of rec. = perimeter of square

2×( 19+21) = 2× 40=80

80=4* side

80/4=side

20cm each

Step-by-step explanation:

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Answer 2

Correct Question :

Find the length of the side of a square whose perimeter is equal to the perimeter of a rectangle.

• Length = 19 m, Breadth = 21 m

Answer :

• The length of the side of a square = 20 m.

Given :

• The length of the rectangle = 19 m.
• The breadth of the rectangle = 21 m.
• The perimeter of the square is equal to the perimeter of the rectangle.

To Find :

• The length of the side of a square.

Solution :

Given,

The length of the rectangle = 19 m.

The breadth of the rectangle = 21 m.

Perimeter of the rectangle = Perimeter of the square.

First, we need to find the perimeter of the rectangle.

We know that,

Perimeter of the rectangle = 2 ( length + breadth )

⇒ 2 ( 19 m + 21 m )

⇒ 2 ( 40 m )

⇒ 80 m

Hence,

The perimeter of the rectangle is 80 m.

∴ Perimeter of the square = 80 m.

Now, we have to find the length of the side of a square.

We know that,

Perimeter of the square = 4a

• a = side

That means,

⇒ 4a = 80 m

⇒ a = 80 / 4 m

⇒ a = 20 m

Hence,

The length of the sides of a square is 20 m.

Verification :

Perimeter of the square = 80 m

We know that,

Perimeter of the square = 4a

⇒ 4a = 80 m

• a = 20 m

⇒ 4 × 20 m = 80 m

⇒ 80 m = 80 m