If the side of a square is increased by 50 %, | vedclass

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

Question

(C) Let the original side of the square be $x$. Then,the original area $= x^2$. If the side is increased by $50 \%$,the new side $= x + 0.5x = 1.5x$ o

Vedclass · Accepted Answer

$125$

Vedclass · Answer

(C) Let the original side of the square be $x$. Then,the original area $= x^2$. If the side is increased by $50 \%$,the new side $= x + 0.5x = 1.5x$ or $\frac{3x}{2}$. The new area $= (1.5x)^2 = 2.25x^2$ or $\frac{9x^2}{4}$. The increase in area $= 2.25x^2 - x^2 = 1.25x^2$. The percentage increase in area $= \frac{	ext{Increase in area}}{	ext{Original area}} 	imes 100 = \frac{1.25x^2}{x^2} 	imes 100 = 125 \%$.

If the side of a square is increased by $50 \%$,the percent increase in its area is: (in $\%$)

Similar Questions

$A$ rope by which a calf is tied is increased from $12 \ m$ to $23 \ m$. How much additional grassy ground shall it graze? (in $m^2$)

The volume of two hemispheres is in the ratio $8:27$. What is the ratio of their radii?

How many metres of cloth $5\, m$ wide will be required to make a conical tent,the radius of whose base is $7\, m$ and height is $24\, m ?$ (in $m$)

The area of the circle inscribed in an equilateral triangle of side $24 \, cm$ is

In the given figure,$y$ is both the radius of the larger circle and the diameter of the smaller circle. Find the area of the shaded region.

Vedclass Test Series

Exam Paper Generator

Online Exam Module