Question

a rectangle is 81m long and 36m broad. find the side of a square whose area is equal to the area of this rectangle

Answer 1

Heyas

Area of rectangle

= (length × breadth)

= (81 × 36) m²

= 2,916 m²

According to Question,

Area of rectangle = Area of Sq.

Let the side of the sq. be x meters

According to Question,

Area of Sq. = 2,916

=> x × x = 2,916

=> x² = 2,916

=> x = 54

∴Side of Sq. = x meters

= 54 meters

Answer 2

$\Large{\textbf{\underline{\underline{According\;to\;the\;Question}}}$

Given

Breadth of Rectangle = 36 m

Length of Rectangle = 81 m

As we know that,

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

Area of Rectangle = 81m × 36m

Area of Rectangle = 2916m²

Now

Given,

${\boxed{\sf\:{Area\;of\;Rectangle = Area\;of\; Square}}}$

Area of Square = 2916m²

As we know that,

Area of Square = (Side)²

2916 = (a)²

√2916 = a

54 = a

Side = 54m

Hence we get,

$\textbf{\underline{Side\;of\;Square = 54m}}$