Question

A rectangle and a square have the same perimeter of 100m find the side of the square if the rectangle has a breadth 2m less than that of the square find the length and area of the rectangle

Answer 1

Answer:

Heya!!!!

Step-by-step explanation:

Given :

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,

Area of rectangle = 621 m²

Length of Rectangle = 27 m

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