Question

the perimeter of a square is equal to the perimeter of rectangle of length 12.4 cm and breadth 9.5 cm find the length of each side of the square.answer with solition​

Answer 1

Answer: 29.45 cm

Step-by-step explanation:

Perimeter of rectangle = l × b

= 12.4 × 9.5

= 117.8 cm

POR = POS

Perimeter of square = 4 × S

117.8 = 4 × S

Length of each side = 117.8 ÷ 4

= 29.45 cm

Answer 2

Perimeter and Area

We are given that the perimeter of a square is equal to the perimeter of a rectangle with dimensions of the rectangle and we are asked to find out the length of each side of the square.

Hint for the Question

The perimeter of a rectangle is equal to the twice the sum of its length and width and it is calculated with the help of the formula:

$\;Perimeter_{(rectange)} = 2(l+b)$

The perimeter of a square is equal to the 4 times of the length of the side of the square and it is calculated with the help of the formula:

$\;Perimeter_{(square)} = 4a$

Required solution

Given that, the length and breadth of a rectangle are 12.4cm and 9.5cm respectively.

Step 1. Determine the perimeter of a rectangle.

We know that, the perimeter of the rectangle = 2(l + b). Where l is length and b is the breadth of a rectangle.

By substituting the given values in the formula, we get:

$=2(12.4+9.5)$

$=2(21.9)$

$=43.8$

Thus, the perimeter of a rectangle is 43.8cm.

Step 2. Determine the length of each side of the square, using the given condition.

As it is given that, the perimeter of a square is equal to the perimeter of a rectangle. Therefore,

The perimeter of the square = Perimeter of the rectangle.

By substituting the given values in the formula, we get:

$\Rightarrow 4a = 43.8$

$\Rightarrow a = \dfrac{43.8}{4}$

$\Rightarrow a = 10.95$

Finally answer: a = 10.95cm

The length of each side of the square is 10.95cm.