Question

the perimeter of square and rectangle are equal if the size of square is 36meterand the breath. of the rectangle is 32 find the area of rectangle and square

Answer 1

Given side of square = 36 metre.

=> Perimeter of square = 4 × side

=> P = 4 × 36

=> P = 144 metre.

Given the perimeter of the square and the rectangle is same.

=> Perimeter of rectangle = 144 metre.

Given breadth = 32 metres
Let the length be l

=> Perimeter = 2(l + b)

=> 2(l + 32) = 144

=> l + 32 = 144/2

=> l + 32 = 72

=> l = 72 - 32

=> l = 40 metre

So the area of square = side × side

=> 36 × 36

= 1296 m²

And area of rectangle = Length × Breadth

=> 32 × 40

= 1280 m²


Hope it helps dear friend ☺️✌️

Answer 2

$<b><i>$Square :

Side = 36 m

Rectangle :

Breadth = 32 m

A/q

Perimeter of square = Perimeter of rectangle

4 × side = 2(Breadth + Length)

4 × 36 = 2(32 + Length)

144 = 2(32 + Length)

72 = 32 + Length

Length = 40 m

Now,

Area of Rectangle -

= Length × Breadth

= 32 × 40

$\huge\mathsf\red{\boxed{1280 \ m^2}}$

Area of square -

= (Side)²

= (36)²

$\huge\mathsf\red{\boxed{1296 \ m^2}}$