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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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 $\%$)

Similar Questions

$860 \%$ of $50 + 50 \%$ of $860 = ?$

If $30 \%$ students failed in English,$45 \%$ failed in Math,and $25 \%$ failed in both,then what is the percentage of students who passed in both subjects (in $\%$)?

The price of petrol went up by $20 \%$. In order to keep expenses the same,Ram must reduce travel by: (in $\%$)

Fresh fruits contain $68 \%$ water and dry fruits contain $20 \%$ water. How much dry fruit can be obtained from $100 \,kg$ of fresh fruits?

Three candidates contested an election and received $1136$,$7636$,and $11628$ votes respectively. What percentage of the total votes did the winning candidate get?

Vedclass Test Series

Exam Paper Generator

Online Exam Module