Question

Find the length of a square field whose area is the same as a rectangular field of side 49 metre and 25metre

Answer 1

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

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

• Area of Square field is same as a rectangular field.
• Dimensions of rectangular field :-

1. Length = 49 m
2. Breadth = 25 m

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

• Length of the square field.

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

First find the area of the rectangular field using the formula.

$\bf{\large{\underline{\boxed{\sf{\green{Area\:of\:rectangle \:=\:length\times\:breadth </p><p>:}}}}}}$

Plug in the values in the above formula,

Area = 49 × 25

Area = 1225 sq.m

Area of the rectangular field is 1225 m²

Since given in the question, Area of rectangular field is same as the area of Square field.

Area of Square = Area of rectangle

Side ² = Length × Breadth

Since we know the area of rectangle ,ultimately we even know the area of Square.

1225 = 1225

Now to find the length of the square, use the formula used for calculating the area of Square.

$\bf{\large{\underline{\boxed{\sf{\purple{Area\:of\:square \:=\:Length^2</p><p>}}}}}}$

Plug in the values,

1225 = Length²

$\sqrt{1225}$ = Length

35 = Length

•°• Length of the square field is 35 m