Question

the perimeter of rectangle and square are same. if the length and breath of the rectangle are 25 CM and 17 CM respectively, find which figure has greater area and how much.​

Answer 1

Answer:

425 < 441

Step-by-step explanation:

perimeter of rectangle = 2 (l +b)

= 2(25 + 17)

= 2 x 42

= 84

Area of rectangle = lb

= 25 x 17

= 425

perimeter of square = 4 x (side)

84 = 4 x (side)

84/4 = (side)

21 = (side)

Area of square = (side)²

= 21²

= 441

425 < 441

So area of the square has more area

Answer 2

Given:-

•Perimeter of a square and rectangle are same

•Length of the rectangle=25cm

•Breadth of the rectangle=17cm

To find:-

•Which of the figures has a greater area and by how much.

Solution:-

We know that perimeter of a rectangle is:-

=>2(l+b)

=>2(25+17)

=>84cm

Thus,perimeter of the rectangle is 84cm.

Now,we know that perimeter of the rectangle and the square is same.

☆So,perimeter of the square is also 84cm.

● Now,we know that perimeter of a square is-----

=>4×side

=>4×side=84

=>side=84/4

=>side=21cm

☆Area of the rectangle:-

=>Length×Breadth

=>(25×17)cm²

=>425cm²

☆Area of the square:-

=>(side)²

=>(21)²

=>441cm²

Thus,area of the square is more and by (441-425)=16cm².