Question

if area of a square is increased by 3172 units then the new side of the square will be​

Answer 1

Answer:

let the old side be x

area = x × x

       = x²

new area = x² + 3172

new side = √(x² + 3172)

              = x + 56.32

approx.

               

Answer 2

The new side of the square will be 74 m

Correct question : Area of a square plot is 2304 m². If the area of a square is increased by 3172 units, then the new side of the square will be

Given :

• Area of a square plot is 2304 m²

• The area of a square is increased by 3172 units

To find :

The new side of the square

Solution :

Step 1 of 2 :

Form the equation to find the new side of the square

Here it is given that the area of a square plot is 2304 m²

The area of a square is increased by 3172 units

∴ Area of the new square

= (2304 + 3172) m²

= 5476 m²

Let new side of the square = x metre

∴ Area of the square = x² metre²

By the given condition

x² = 5476

Step 2 of 2 :

Find the new side of the square

$\displaystyle \sf {x}^{2} = 5476$

$\displaystyle \sf{ \implies }x = \sqrt{5476}$

$\displaystyle \sf{ \implies }x = 74$

Hence new side of the square will be 74 m

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