Question

The area of a square is 49sq cm A rectangle has the same perimeter as the square.if the length of the rectangle is 9.3cm what is its breadth?Also find which has greater area?

Answer 1

Solutions :-

Given :
Area of square = 49 cm²
Length of Rectangle = 9.3 cm


Find the side of square :-

Side = √Area
= √49 cm²
= 7 cm


Find the perimeter of square :-

Perimeter = 4 × side
= 4 × 7 cm
= 28 cm


Now,
Find the length of rectangle :-

We know,
Perimeter of Square = Perimeter of rectangle

Perimeter of rectangle = 2(Length + Breadth)
=> 28 = 2(9.3 + Breadth)
=> 28/2 = 9.3 + Breadth
=> 14 - 9.3 = Breadth = 4.7 cm


Find the area of rectangle :-

Area = Length × Breadth
= (9.3 × 4.7) cm²
= 43.71 cm²


Find which has greater area :-

Area of square = 49 cm²
Area of rectangle = 43.71 cm²

49 cm² > 43.71 cm²


Hence,
Breadth of rectangle = 4.7 cm
Area of square is greater than Area of rectangle.

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✯ @shivamsinghamrajput ✯