Question

A rectangle and a square are of equal area.If the lenght and the perimeter of a rectangle are 25cm and 58cm,then find the perimeter and area of the square. ​

Answer 1

Answer:

hope this helps you

Step-by-step explanation:

perimeter of rect. = 2(length x breadth)

58 = 2(25 x b)

58/2 = 25 x b

29/25 = b

or b = 1.16 cm

now area of the rect

length x breadth

25 x 1.16

29 cm²

It is given that the area of rect is equals to area of square

so, we can write

area of rect = area of sq

29 cm² = a²

or a = 5.4 cm

Answer 2

Answer ::

• The perimeter of square = 40cm.
• The area of square = 100cm².

Step-by-step explanation ::

To Find :-

• The perimeter of square
• The area of square

Solution :-

Given that,

• A rectangle and a square are of equal area.
• The lenght and the perimeter of a rectangle are 25cm and 58cm.

According the question,

First let's find out the breadth of rectangle,

⟾ 2 ( l + b ) = 58

⟾ 2 ( 25 + b ) = 58

⟾ 25 + b = 58/2

⟾ 25 + b = 29

⟾ b = 29 - 25

⟾ b = 4

Now, area of rectangle,

⟾ l × b = Area

⟾ 25 × 4

⟾ 100cm²

Therefore, the area of rectangle = Area of square = 100cm².

Now, let's find out the side of square,

⟾ Side² = Area

⟾ Side² = 100

⟾ Side = √ 100

⟾ Side = 10cm

Therefore, the perimeter of square is,

As we know that,

Perimeter of square = 4 × side

⟾ 4 × 10

⟾ 40cm

The perimeter of square is 40cm.