Question

the areas of square and a rectangle are the same the perimeter of the square is a 80 CM if the length of the rectangle is 25 cm find its breadth and perimeter ​

Answer 1

$\huge\mathbb{SOLUTION:-}$

• Given the perimeter of square =80cm
• Now the side of square

$\boxed{\sf{perimeter\:of\:square=4\times side}}$

$\sf\implies 4\times side=80\\ \\ \sf\implies side=\cancel{\frac{80}{4}}=20\\ \\ \sf\implies side\:of\:square=20cm$

• Now the area of square

$\boxed{\sf{Area of square =side×side}}$

$\sf\implies Area=20\times 20\\ \\ \sf\implies </p><p>Area\: of\: square=400cm{}^{2}$

$\sf Area\:of\:square=Area\:of\: rectangle$

$\boxed{\sf{Area\:of\: rectangle=l\times b}}$

Length=25cm

$\sf\implies 25\times b=400\\ \\ \sf\implies breadth=\cancel{\frac{400}{25}}\\ \\ \sf\implies breadth=16cm$

Now the perimeter of rectangle

$\boxed{\sf{perimeter\:of\: rectangle=2(l+b)}}$

$\sf\implies Perimeter=2(25+16)\\ \\ \sf\implies perimeter=2\times 41\\ \\ \sf\implies perimeter=82cm$

$\boxed{\sf{\purple{Breadth\:of\: rectangle=16cm}}}$

$\boxed{\sf{\purple{Perimeter\:of\: rectangle=82cm}}}$

Answer 2

Answer:

$<font color =red>$

: perimeter of the square = 80cm

=> 4 × side(s) = 80

=> s = 80/4

=> s = 20cm

$\rule{300}{2}$

A/Q, Area of the square = area of the rectangle

=> s × s = l × b

=> 20 × 20 = 25 × b

=> b = 400/ 25

=> b = 16cm

$\rule{300}{2}$

.°. The breadth is 16cm

and the Perimeter of the rectangle

= 2(l + b)

= 2 × ( 25 + 16)

= 2 × 41

= 82cm