Question

The perimeter of a square is the same as the perimeter of a rectangle. If the rectangle is
of size 105 cm by 15 cm, then find the area of the square. please give the right explanation and will mark u brainliest ​

Answer 1

Step-by-step explanation:

Concept :-

In the question, it is given that the perimeter of a square is same as the perimeter of the rectangle and the length and breadth of the rectangle is also given. From which we will calculate the side and then the area of the square. Step wise solution is given below.

Given :-

The perimeter of a square is = The perimeter of the rectangle

Length of the rectangle = 105 cm

breadth of the rectangle = 15 cm

Formula to be used :-

The perimeter of a square = 4 x side

The perimeter of the rectangle = 2(Length + Breadth)

Area of the square = (side)^{2}(side)2

Solution :-

The perimeter of a square is = The perimeter of the rectangle

=> 4 x side = 2(Length + Breadth)

[Substituting the formula of perimeter of both the figures]

=> 4 x side = 2(105 cm + 15 cm)

=> 4 x side = 2 x 120 cm

=> 4 x side = 240

Answer :-

Area of the square is 3600 cm^{2}cm2

Answer 2

Given:

Perimeter of the square = perimeter of the rectangle

rectangle is  of size 105 cm by 15 cm

We know that the formula of square and rectangle

area of square =4×sides

area of rectangle = 2×( length + breadth)

Given that l=105cm and b=15 cm

So here are the solution

2×(length + breadth) = 4×sides

2 × (105+15) = 4 × sides

2 × 120 = 4 sides

240 = 4 sides

sides = 240/4

sides = 60 cm

Area of rectangle = 4 sides

= 4 × 60

=240 cm

Hence the area of rectangle =240 cm