Question

The area of a square and a rectangle are equal. If the side of the square is40 cm and the breadth of the rectangle is 25 cm, find the length of the rectangle. Also, find the perimeter of the rectangle. with solution
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Answer 1

$\huge{\orange{\underline{\underline{\bf{SoluTion:}}}}}$

Given,

Area of Square = Area of Rectangle

Side of Square = 40cm

$\boxed{\sf{Area\;of\; Square = (Side)×(Side) ☞(Side)²}}$

$→\;{\bf{40×40}}$

$◕➜\;{\bf{1600\;cm²}}$

Area of Square = 1600cm²

Area of Rectangle = 1600cm²

____________________

And, Breadth of Rectangle = 25cm

Let, Length of Rectangle be 'x'

$\boxed{\sf{Area\;of\; Rectangle = Length × Breadth}}$

$→\;{\bf{x\times25 = 1600}}$

$→\;{\bf{x = \frac{1600}{25}}}$

$◕➜\;{\bf{x = 64cm}}$

.:. Length of Rectangle = $\fbox\green{64cm}$

____________________

Now,

$\boxed{\sf{Perimeter\;of\; Rectangle = 2(Length+Breadth)}}$

$→\;{\bf{2(64+25)}}$

$→\;{\bf{2(89)}}$

$◕➜\;{\bf{178cm}}$

.:. Perimeter of Rectangle = $\fbox\red{178cm}$

Hope It Helps You ✌️