# Find the Length of a Side of a Sqiare, Whose Area is Equal to the Area of a Rectangle with Sides 240 M and 70 M. - Mathematics

Find the length of a side of a sqiare, whose area is equal to the area of a rectangle with sides 240 m and 70 m.

#### Solution

The area of the rectangle = 240 m $\times$ 70 m = 16800 m2

Given that the area of the square is equal to the area of the rectangle.
Hence, the area of the square will also be 16800 m2.
The length of one side of a square is the square root of its area.

$\therefore$$\sqrt{16800} = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 5 \times 5 \times 7}$
$= 2 \times 2 \times 5\sqrt{2 \times 3 \times 7}$
$= 20\sqrt{42}\text{ m } = 129 . 60 \text{ m }$

Hence, the length of one side of the square is 129.60 m

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 3 Squares and Square Roots
Exercise 3.9 | Q 23 | Page 61