Question

find the length of each side of a square whose area is equal to the area of a rectangle of length 13.6m and breadth 3.4m.......





step by step solutions guys ............​

Answer 1

Answer:

6.8 m

Step-by-step explanation:

Here,

Area of a square is equal to area of a rectangle.

l² = l * b

⇒ l² = 13.6 * 3.4

⇒ l² = 46.24

⇒ l = 6.8

Therefore, length of each side = 6.8 m

Hope it helps

Answer 2

$\bf{\huge{\underline{\boxed{\sf{\green{Answer:}}}}}}$

$\bf{\underline{\underline{\sf{\blue{Given:}}}}}$

• Length of the rectangle is 13.4 m
• Breadth of the rectangle is 3.4 m

$\bf{\underline{\underline{\sf{\blue{To\:find:}}}}}$

• Length of each side of square

$\bf{\underline{\underline{\sf{\blue{Solution:}}}}}$

We have the length and breadth of the rectangle. So, we can calculate the area of the rectangle using the formula.

$\bf{\large{\underline{\boxed{\sf{\orange{Area\:of\:rectangle\:=\:Length\:\times\:breadth}}}}}}$

Plug in the values,

=> Area = 13.4 × 3.4

=> Area = 46.24

$\bf{\large{\underline{\boxed{\sf{\orange{Area\:of\:rectangle\:=\:46.24\:m^2}}}}}}$

Since the question says : the area of Square is equal to the area of rectangle, therefore we even have the area of square = 46.24 m²

Area of Square = Area of rectangle

=> side² = Length × Breadth

We know that the area of Square is calculated using the formula,

$\bf{\large{\underline{\boxed{\sf{\orange{Area\:of\:square\:=\:side^2}}}}}}$

Plug in the values,

=> Area = side²

=> 46.24 = side²

=> $\sqrt{46.24}$ = side

=> 6.8 = side

$\bf{\large{\underline{\boxed{\sf{\orange{Each\:side\:of\:the\:square\:=\:6.8\:m:}}}}}}$