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What will be the length of a side of a square, whose area is equal to the area of the rectangle with sides 240m and 70m.

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40√22 m

40√20 m

22√40 m

20√42 m

answer is D.

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Detailed Solution

Concept- We need to know the basic formulas of “Area” of a Square and a Rectangle.
Considering each side of a square is

meters in length,
Area of the square (Asquare) =

sq. meters
Considering the length of a rectangle to be

meters and the breadth to be

meters,
Area of the rectangle =

sq. meters
In the question statement, the dimensions of the length and breadth of the rectangle are provided. We will calculate the area of the rectangle using those data and equate the value to

, forming an equation.
Solving for

, we will obtain our desired answer.
Given,
Length of the rectangle

= 240m
Breadth of the rectangle

= 70m
Therefore, Area of the rectangle =

= (240 × 70) sq. m
= 16800 sq. m
As mentioned in the question statement, the area of the square is equal to that of the rectangle
i.e.,

$Question Image$

m
Hence, the correct answer is 4) 20√42m.

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