Question

a rectangle and the square havethesameperimeter 100 cmfind the side of square if therectangle has a bradth 2 cm less than the square find breadth length and area of rectangle

Answer 1

Answer:

Length of Rectangle = 27 m

Area of rectangle = 621 m²

Step-by-step explanation:

Perimeter of rectangle = Perimeter of Square = 100 m

Find the side of the square :-

Perimeter of Square = 4 × side

=> 100 m = 4 × Side

=> Side = 100/4 = 25 m

Breadth of rectangle = (side of square - 2) m

= (25 - 2) m = 23 m

Let the length of rectangle be x

Find the length of rectangle :-

Perimeter of rectangle = 2(Length +Breadth)

=> 100 = 2(x + 23)

=> 100/2 = x + 23

=> 50 - 23 = x = 27 m

Find the area of rectangle :-

Area of rectangle = (Length × Breadth) sq. units

= (27 × 23) m²

= 621 m²

Hence,

Length of Rectangle = 27 m

Area of rectangle = 621 m²