If all sides of a hexagon are increased by 7 | vedclass

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(A) The area of a regular hexagon with side length $s$ is given by $A = \frac{3\sqrt{3}}{2}s^2$.Since the area is proportional to the square of the si

Vedclass · Accepted Answer

$14.49$

Vedclass · Answer

(A) The area of a regular hexagon with side length $s$ is given by $A = \frac{3\sqrt{3}}{2}s^2$.Since the area is proportional to the square of the side length $(A \propto s^2)$,if the side length increases by $x \%$,the percentage increase in area is given by the formula $(2x + \frac{x^2}{100}) \%$.Here,$x = 7$.Percentage increase in area $= (2 	imes 7 + \frac{7^2}{100}) \% = (14 + \frac{49}{100}) \% = (14 + 0.49) \% = 14.49 \%$.

If all sides of a hexagon are increased by $7 \%$,find the percentage increase in its area. (in $\%$)

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